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Finding the Fourth Proportional to 2,359.40, 3,531.40 and 1,626.76

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Solution

The fourth proportional to 2,359.40, 3,531.40 and 1,626.76 is: 2,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.40 : 3,531.40 = 1,626.76 : x
  2. Step 2: Convert to fraction form
    2,359.40/3,531.40 = 1,626.76/x
  3. Step 3: Cross multiply
    2,359.40x = 3,531.40 × 1,626.76
  4. Step 4: Simplify right side
    2,359.40x = 5,744,740.26
  5. Step 5: Solve for x
    x = 5,744,740.26/2,359.40
  6. Step 6: Final answer
    x = 2,434.83

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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.