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Finding the Fourth Proportional to 2,402.89, 3,316.60 and 1,565.68

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Solution

The fourth proportional to 2,402.89, 3,316.60 and 1,565.68 is: 2,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.89 : 3,316.60 = 1,565.68 : x
  2. Step 2: Convert to fraction form
    2,402.89/3,316.60 = 1,565.68/x
  3. Step 3: Cross multiply
    2,402.89x = 3,316.60 × 1,565.68
  4. Step 4: Simplify right side
    2,402.89x = 5,192,734.29
  5. Step 5: Solve for x
    x = 5,192,734.29/2,402.89
  6. Step 6: Final answer
    x = 2,161.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.