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Finding the Fourth Proportional to 2,666.15, 3,678.96 and 1,487.15

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Solution

The fourth proportional to 2,666.15, 3,678.96 and 1,487.15 is: 2,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.15 : 3,678.96 = 1,487.15 : x
  2. Step 2: Convert to fraction form
    2,666.15/3,678.96 = 1,487.15/x
  3. Step 3: Cross multiply
    2,666.15x = 3,678.96 × 1,487.15
  4. Step 4: Simplify right side
    2,666.15x = 5,471,146.97
  5. Step 5: Solve for x
    x = 5,471,146.97/2,666.15
  6. Step 6: Final answer
    x = 2,052.08

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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.