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Finding the Fourth Proportional to 3,044.25, 4,564.46 and 1,398.68

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Solution

The fourth proportional to 3,044.25, 4,564.46 and 1,398.68 is: 2,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.25 : 4,564.46 = 1,398.68 : x
  2. Step 2: Convert to fraction form
    3,044.25/4,564.46 = 1,398.68/x
  3. Step 3: Cross multiply
    3,044.25x = 4,564.46 × 1,398.68
  4. Step 4: Simplify right side
    3,044.25x = 6,384,218.91
  5. Step 5: Solve for x
    x = 6,384,218.91/3,044.25
  6. Step 6: Final answer
    x = 2,097.14

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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.