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Finding the Fourth Proportional to 2,423.80, 3,641.17 and 1,450.59

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Solution

The fourth proportional to 2,423.80, 3,641.17 and 1,450.59 is: 2,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.80 : 3,641.17 = 1,450.59 : x
  2. Step 2: Convert to fraction form
    2,423.80/3,641.17 = 1,450.59/x
  3. Step 3: Cross multiply
    2,423.80x = 3,641.17 × 1,450.59
  4. Step 4: Simplify right side
    2,423.80x = 5,281,830.23
  5. Step 5: Solve for x
    x = 5,281,830.23/2,423.80
  6. Step 6: Final answer
    x = 2,179.15

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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.