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Finding the Fourth Proportional to 1,743.85, 2,615.86 and 511.27

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Solution

The fourth proportional to 1,743.85, 2,615.86 and 511.27 is: 766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.85 : 2,615.86 = 511.27 : x
  2. Step 2: Convert to fraction form
    1,743.85/2,615.86 = 511.27/x
  3. Step 3: Cross multiply
    1,743.85x = 2,615.86 × 511.27
  4. Step 4: Simplify right side
    1,743.85x = 1,337,412.20
  5. Step 5: Solve for x
    x = 1,337,412.20/1,743.85
  6. Step 6: Final answer
    x = 766.93

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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.