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Finding the Fourth Proportional to 2,484.95, 3,726.41 and 729.47

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Solution

The fourth proportional to 2,484.95, 3,726.41 and 729.47 is: 1,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.95 : 3,726.41 = 729.47 : x
  2. Step 2: Convert to fraction form
    2,484.95/3,726.41 = 729.47/x
  3. Step 3: Cross multiply
    2,484.95x = 3,726.41 × 729.47
  4. Step 4: Simplify right side
    2,484.95x = 2,718,309.97
  5. Step 5: Solve for x
    x = 2,718,309.97/2,484.95
  6. Step 6: Final answer
    x = 1,093.91

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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.