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Finding the Fourth Proportional to 1,915.52, 2,873.28 and 1,187.20

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Solution

The fourth proportional to 1,915.52, 2,873.28 and 1,187.20 is: 1,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.52 : 2,873.28 = 1,187.20 : x
  2. Step 2: Convert to fraction form
    1,915.52/2,873.28 = 1,187.20/x
  3. Step 3: Cross multiply
    1,915.52x = 2,873.28 × 1,187.20
  4. Step 4: Simplify right side
    1,915.52x = 3,411,158.02
  5. Step 5: Solve for x
    x = 3,411,158.02/1,915.52
  6. Step 6: Final answer
    x = 1,780.80

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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.