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Finding the Fourth Proportional to 2,497.90, 3,742.17 and 2,089.66

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Solution

The fourth proportional to 2,497.90, 3,742.17 and 2,089.66 is: 3,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.90 : 3,742.17 = 2,089.66 : x
  2. Step 2: Convert to fraction form
    2,497.90/3,742.17 = 2,089.66/x
  3. Step 3: Cross multiply
    2,497.90x = 3,742.17 × 2,089.66
  4. Step 4: Simplify right side
    2,497.90x = 7,819,862.96
  5. Step 5: Solve for x
    x = 7,819,862.96/2,497.90
  6. Step 6: Final answer
    x = 3,130.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.