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Finding the Fourth Proportional to 1,920.88, 2,877.52 and 1,269.64

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Solution

The fourth proportional to 1,920.88, 2,877.52 and 1,269.64 is: 1,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.88 : 2,877.52 = 1,269.64 : x
  2. Step 2: Convert to fraction form
    1,920.88/2,877.52 = 1,269.64/x
  3. Step 3: Cross multiply
    1,920.88x = 2,877.52 × 1,269.64
  4. Step 4: Simplify right side
    1,920.88x = 3,653,414.49
  5. Step 5: Solve for x
    x = 3,653,414.49/1,920.88
  6. Step 6: Final answer
    x = 1,901.95

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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.