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Finding the Fourth Proportional to 2,429.66, 3,644.61 and 1,043.18

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Solution

The fourth proportional to 2,429.66, 3,644.61 and 1,043.18 is: 1,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.66 : 3,644.61 = 1,043.18 : x
  2. Step 2: Convert to fraction form
    2,429.66/3,644.61 = 1,043.18/x
  3. Step 3: Cross multiply
    2,429.66x = 3,644.61 × 1,043.18
  4. Step 4: Simplify right side
    2,429.66x = 3,801,984.26
  5. Step 5: Solve for x
    x = 3,801,984.26/2,429.66
  6. Step 6: Final answer
    x = 1,564.82

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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.