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Finding the Fourth Proportional to 3,044.16, 4,564.80 and 1,399.68

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Solution

The fourth proportional to 3,044.16, 4,564.80 and 1,399.68 is: 2,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.16 : 4,564.80 = 1,399.68 : x
  2. Step 2: Convert to fraction form
    3,044.16/4,564.80 = 1,399.68/x
  3. Step 3: Cross multiply
    3,044.16x = 4,564.80 × 1,399.68
  4. Step 4: Simplify right side
    3,044.16x = 6,389,259.26
  5. Step 5: Solve for x
    x = 6,389,259.26/3,044.16
  6. Step 6: Final answer
    x = 2,098.86

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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.