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Finding the Fourth Proportional to 1,540.28, 2,308.77 and 717.86

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Solution

The fourth proportional to 1,540.28, 2,308.77 and 717.86 is: 1,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.28 : 2,308.77 = 717.86 : x
  2. Step 2: Convert to fraction form
    1,540.28/2,308.77 = 717.86/x
  3. Step 3: Cross multiply
    1,540.28x = 2,308.77 × 717.86
  4. Step 4: Simplify right side
    1,540.28x = 1,657,379.40
  5. Step 5: Solve for x
    x = 1,657,379.40/1,540.28
  6. Step 6: Final answer
    x = 1,076.02

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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.