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Finding the Fourth Proportional to 1,602.16, 2,402.42 and 952.54

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Solution

The fourth proportional to 1,602.16, 2,402.42 and 952.54 is: 1,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.16 : 2,402.42 = 952.54 : x
  2. Step 2: Convert to fraction form
    1,602.16/2,402.42 = 952.54/x
  3. Step 3: Cross multiply
    1,602.16x = 2,402.42 × 952.54
  4. Step 4: Simplify right side
    1,602.16x = 2,288,401.15
  5. Step 5: Solve for x
    x = 2,288,401.15/1,602.16
  6. Step 6: Final answer
    x = 1,428.32

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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.