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Finding the Fourth Proportional to 2,497.59, 3,720.20 and 2,371.23

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Solution

The fourth proportional to 2,497.59, 3,720.20 and 2,371.23 is: 3,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.59 : 3,720.20 = 2,371.23 : x
  2. Step 2: Convert to fraction form
    2,497.59/3,720.20 = 2,371.23/x
  3. Step 3: Cross multiply
    2,497.59x = 3,720.20 × 2,371.23
  4. Step 4: Simplify right side
    2,497.59x = 8,821,437.99
  5. Step 5: Solve for x
    x = 8,821,437.99/2,497.59
  6. Step 6: Final answer
    x = 3,531.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.