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Finding the Fourth Proportional to 1,729.24, 2,588.24 and 947.27

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Solution

The fourth proportional to 1,729.24, 2,588.24 and 947.27 is: 1,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.24 : 2,588.24 = 947.27 : x
  2. Step 2: Convert to fraction form
    1,729.24/2,588.24 = 947.27/x
  3. Step 3: Cross multiply
    1,729.24x = 2,588.24 × 947.27
  4. Step 4: Simplify right side
    1,729.24x = 2,451,762.10
  5. Step 5: Solve for x
    x = 2,451,762.10/1,729.24
  6. Step 6: Final answer
    x = 1,417.83

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