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Finding the Fourth Proportional to 3,165.69, 4,748.98 and 974.60

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Solution

The fourth proportional to 3,165.69, 4,748.98 and 974.60 is: 1,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.69 : 4,748.98 = 974.60 : x
  2. Step 2: Convert to fraction form
    3,165.69/4,748.98 = 974.60/x
  3. Step 3: Cross multiply
    3,165.69x = 4,748.98 × 974.60
  4. Step 4: Simplify right side
    3,165.69x = 4,628,332.16
  5. Step 5: Solve for x
    x = 4,628,332.16/3,165.69
  6. Step 6: Final answer
    x = 1,462.03

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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.