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Finding the Fourth Proportional to 2,666.56, 3,679.90 and 1,487.74

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Solution

The fourth proportional to 2,666.56, 3,679.90 and 1,487.74 is: 2,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.56 : 3,679.90 = 1,487.74 : x
  2. Step 2: Convert to fraction form
    2,666.56/3,679.90 = 1,487.74/x
  3. Step 3: Cross multiply
    2,666.56x = 3,679.90 × 1,487.74
  4. Step 4: Simplify right side
    2,666.56x = 5,474,734.43
  5. Step 5: Solve for x
    x = 5,474,734.43/2,666.56
  6. Step 6: Final answer
    x = 2,053.11

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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.