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Finding the Fourth Proportional to 1,915.60, 2,875.32 and 1,290.82

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Solution

The fourth proportional to 1,915.60, 2,875.32 and 1,290.82 is: 1,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.60 : 2,875.32 = 1,290.82 : x
  2. Step 2: Convert to fraction form
    1,915.60/2,875.32 = 1,290.82/x
  3. Step 3: Cross multiply
    1,915.60x = 2,875.32 × 1,290.82
  4. Step 4: Simplify right side
    1,915.60x = 3,711,520.56
  5. Step 5: Solve for x
    x = 3,711,520.56/1,915.60
  6. Step 6: Final answer
    x = 1,937.52

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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.