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Finding the Fourth Proportional to 1,747.13, 2,621.06 and 514.44

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Solution

The fourth proportional to 1,747.13, 2,621.06 and 514.44 is: 771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.13 : 2,621.06 = 514.44 : x
  2. Step 2: Convert to fraction form
    1,747.13/2,621.06 = 514.44/x
  3. Step 3: Cross multiply
    1,747.13x = 2,621.06 × 514.44
  4. Step 4: Simplify right side
    1,747.13x = 1,348,373.78
  5. Step 5: Solve for x
    x = 1,348,373.78/1,747.13
  6. Step 6: Final answer
    x = 771.76

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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.