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Finding the Fourth Proportional to 2,721.06, 4,081.65 and 773.40

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Solution

The fourth proportional to 2,721.06, 4,081.65 and 773.40 is: 1,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.06 : 4,081.65 = 773.40 : x
  2. Step 2: Convert to fraction form
    2,721.06/4,081.65 = 773.40/x
  3. Step 3: Cross multiply
    2,721.06x = 4,081.65 × 773.40
  4. Step 4: Simplify right side
    2,721.06x = 3,156,748.11
  5. Step 5: Solve for x
    x = 3,156,748.11/2,721.06
  6. Step 6: Final answer
    x = 1,160.12

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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.