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Finding the Fourth Proportional to 2,402.24, 3,602.52 and 921.86

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Solution

The fourth proportional to 2,402.24, 3,602.52 and 921.86 is: 1,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.24 : 3,602.52 = 921.86 : x
  2. Step 2: Convert to fraction form
    2,402.24/3,602.52 = 921.86/x
  3. Step 3: Cross multiply
    2,402.24x = 3,602.52 × 921.86
  4. Step 4: Simplify right side
    2,402.24x = 3,321,019.09
  5. Step 5: Solve for x
    x = 3,321,019.09/2,402.24
  6. Step 6: Final answer
    x = 1,382.47

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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.