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Finding the Fourth Proportional to 3,313.02, 4,969.40 and 973.02

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Solution

The fourth proportional to 3,313.02, 4,969.40 and 973.02 is: 1,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.02 : 4,969.40 = 973.02 : x
  2. Step 2: Convert to fraction form
    3,313.02/4,969.40 = 973.02/x
  3. Step 3: Cross multiply
    3,313.02x = 4,969.40 × 973.02
  4. Step 4: Simplify right side
    3,313.02x = 4,835,325.59
  5. Step 5: Solve for x
    x = 4,835,325.59/3,313.02
  6. Step 6: Final answer
    x = 1,459.49

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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.