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Finding the Fourth Proportional to 1,637.13, 2,456.09 and 482.88

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Solution

The fourth proportional to 1,637.13, 2,456.09 and 482.88 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.13 : 2,456.09 = 482.88 : x
  2. Step 2: Convert to fraction form
    1,637.13/2,456.09 = 482.88/x
  3. Step 3: Cross multiply
    1,637.13x = 2,456.09 × 482.88
  4. Step 4: Simplify right side
    1,637.13x = 1,185,996.74
  5. Step 5: Solve for x
    x = 1,185,996.74/1,637.13
  6. Step 6: Final answer
    x = 724.44

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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.