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Finding the Fourth Proportional to 2,691.24, 3,720.59 and 2,666.64

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Solution

The fourth proportional to 2,691.24, 3,720.59 and 2,666.64 is: 3,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.24 : 3,720.59 = 2,666.64 : x
  2. Step 2: Convert to fraction form
    2,691.24/3,720.59 = 2,666.64/x
  3. Step 3: Cross multiply
    2,691.24x = 3,720.59 × 2,666.64
  4. Step 4: Simplify right side
    2,691.24x = 9,921,460.78
  5. Step 5: Solve for x
    x = 9,921,460.78/2,691.24
  6. Step 6: Final answer
    x = 3,686.58

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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.