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Finding the Fourth Proportional to 2,665.68, 3,678.72 and 1,486.92

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Solution

The fourth proportional to 2,665.68, 3,678.72 and 1,486.92 is: 2,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.68 : 3,678.72 = 1,486.92 : x
  2. Step 2: Convert to fraction form
    2,665.68/3,678.72 = 1,486.92/x
  3. Step 3: Cross multiply
    2,665.68x = 3,678.72 × 1,486.92
  4. Step 4: Simplify right side
    2,665.68x = 5,469,962.34
  5. Step 5: Solve for x
    x = 5,469,962.34/2,665.68
  6. Step 6: Final answer
    x = 2,052.00

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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.