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Finding the Fourth Proportional to 2,445.38, 3,666.15 and 885.14

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Solution

The fourth proportional to 2,445.38, 3,666.15 and 885.14 is: 1,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.38 : 3,666.15 = 885.14 : x
  2. Step 2: Convert to fraction form
    2,445.38/3,666.15 = 885.14/x
  3. Step 3: Cross multiply
    2,445.38x = 3,666.15 × 885.14
  4. Step 4: Simplify right side
    2,445.38x = 3,245,056.01
  5. Step 5: Solve for x
    x = 3,245,056.01/2,445.38
  6. Step 6: Final answer
    x = 1,327.02

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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.