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Finding the Fourth Proportional to 2,780.28, 3,838.02 and 2,117.16

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Solution

The fourth proportional to 2,780.28, 3,838.02 and 2,117.16 is: 2,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.28 : 3,838.02 = 2,117.16 : x
  2. Step 2: Convert to fraction form
    2,780.28/3,838.02 = 2,117.16/x
  3. Step 3: Cross multiply
    2,780.28x = 3,838.02 × 2,117.16
  4. Step 4: Simplify right side
    2,780.28x = 8,125,702.42
  5. Step 5: Solve for x
    x = 8,125,702.42/2,780.28
  6. Step 6: Final answer
    x = 2,922.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.