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Finding the Fourth Proportional to 1,646.13, 2,470.49 and 768.18

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Solution

The fourth proportional to 1,646.13, 2,470.49 and 768.18 is: 1,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.13 : 2,470.49 = 768.18 : x
  2. Step 2: Convert to fraction form
    1,646.13/2,470.49 = 768.18/x
  3. Step 3: Cross multiply
    1,646.13x = 2,470.49 × 768.18
  4. Step 4: Simplify right side
    1,646.13x = 1,897,781.01
  5. Step 5: Solve for x
    x = 1,897,781.01/1,646.13
  6. Step 6: Final answer
    x = 1,152.87

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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.