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Finding the Fourth Proportional to 1,743.71, 2,616.02 and 648.18

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Solution

The fourth proportional to 1,743.71, 2,616.02 and 648.18 is: 972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.71 : 2,616.02 = 648.18 : x
  2. Step 2: Convert to fraction form
    1,743.71/2,616.02 = 648.18/x
  3. Step 3: Cross multiply
    1,743.71x = 2,616.02 × 648.18
  4. Step 4: Simplify right side
    1,743.71x = 1,695,648.60
  5. Step 5: Solve for x
    x = 1,695,648.60/1,743.71
  6. Step 6: Final answer
    x = 972.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.