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Finding the Fourth Proportional to 2,374.12, 3,561.17 and 730.69

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Solution

The fourth proportional to 2,374.12, 3,561.17 and 730.69 is: 1,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.12 : 3,561.17 = 730.69 : x
  2. Step 2: Convert to fraction form
    2,374.12/3,561.17 = 730.69/x
  3. Step 3: Cross multiply
    2,374.12x = 3,561.17 × 730.69
  4. Step 4: Simplify right side
    2,374.12x = 2,602,098.75
  5. Step 5: Solve for x
    x = 2,602,098.75/2,374.12
  6. Step 6: Final answer
    x = 1,096.03

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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.