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Finding the Fourth Proportional to 1,540.71, 2,308.82 and 880.55

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Solution

The fourth proportional to 1,540.71, 2,308.82 and 880.55 is: 1,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.71 : 2,308.82 = 880.55 : x
  2. Step 2: Convert to fraction form
    1,540.71/2,308.82 = 880.55/x
  3. Step 3: Cross multiply
    1,540.71x = 2,308.82 × 880.55
  4. Step 4: Simplify right side
    1,540.71x = 2,033,031.45
  5. Step 5: Solve for x
    x = 2,033,031.45/1,540.71
  6. Step 6: Final answer
    x = 1,319.54

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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.