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Finding the Fourth Proportional to 2,374.17, 3,539.89 and 2,292.67

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Solution

The fourth proportional to 2,374.17, 3,539.89 and 2,292.67 is: 3,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.17 : 3,539.89 = 2,292.67 : x
  2. Step 2: Convert to fraction form
    2,374.17/3,539.89 = 2,292.67/x
  3. Step 3: Cross multiply
    2,374.17x = 3,539.89 × 2,292.67
  4. Step 4: Simplify right side
    2,374.17x = 8,115,799.61
  5. Step 5: Solve for x
    x = 8,115,799.61/2,374.17
  6. Step 6: Final answer
    x = 3,418.37

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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.