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Finding the Fourth Proportional to 1,781.28, 2,671.98 and 482.76

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Solution

The fourth proportional to 1,781.28, 2,671.98 and 482.76 is: 724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.28 : 2,671.98 = 482.76 : x
  2. Step 2: Convert to fraction form
    1,781.28/2,671.98 = 482.76/x
  3. Step 3: Cross multiply
    1,781.28x = 2,671.98 × 482.76
  4. Step 4: Simplify right side
    1,781.28x = 1,289,925.06
  5. Step 5: Solve for x
    x = 1,289,925.06/1,781.28
  6. Step 6: Final answer
    x = 724.16

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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.