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Finding the Fourth Proportional to 3,165.99, 4,749.13 and 975.04

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Solution

The fourth proportional to 3,165.99, 4,749.13 and 975.04 is: 1,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.99 : 4,749.13 = 975.04 : x
  2. Step 2: Convert to fraction form
    3,165.99/4,749.13 = 975.04/x
  3. Step 3: Cross multiply
    3,165.99x = 4,749.13 × 975.04
  4. Step 4: Simplify right side
    3,165.99x = 4,630,581.06
  5. Step 5: Solve for x
    x = 4,630,581.06/3,165.99
  6. Step 6: Final answer
    x = 1,462.60

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.