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Finding the Fourth Proportional to 1,767.48, 2,648.94 and 726.31

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Solution

The fourth proportional to 1,767.48, 2,648.94 and 726.31 is: 1,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.48 : 2,648.94 = 726.31 : x
  2. Step 2: Convert to fraction form
    1,767.48/2,648.94 = 726.31/x
  3. Step 3: Cross multiply
    1,767.48x = 2,648.94 × 726.31
  4. Step 4: Simplify right side
    1,767.48x = 1,923,951.61
  5. Step 5: Solve for x
    x = 1,923,951.61/1,767.48
  6. Step 6: Final answer
    x = 1,088.53

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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.