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Finding the Fourth Proportional to 2,666.14, 3,679.29 and 1,547.74

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Solution

The fourth proportional to 2,666.14, 3,679.29 and 1,547.74 is: 2,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.14 : 3,679.29 = 1,547.74 : x
  2. Step 2: Convert to fraction form
    2,666.14/3,679.29 = 1,547.74/x
  3. Step 3: Cross multiply
    2,666.14x = 3,679.29 × 1,547.74
  4. Step 4: Simplify right side
    2,666.14x = 5,694,584.30
  5. Step 5: Solve for x
    x = 5,694,584.30/2,666.14
  6. Step 6: Final answer
    x = 2,135.89

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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.