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Finding the Fourth Proportional to 2,787.80, 4,182.33 and 840.16

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Solution

The fourth proportional to 2,787.80, 4,182.33 and 840.16 is: 1,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.80 : 4,182.33 = 840.16 : x
  2. Step 2: Convert to fraction form
    2,787.80/4,182.33 = 840.16/x
  3. Step 3: Cross multiply
    2,787.80x = 4,182.33 × 840.16
  4. Step 4: Simplify right side
    2,787.80x = 3,513,805.46
  5. Step 5: Solve for x
    x = 3,513,805.46/2,787.80
  6. Step 6: Final answer
    x = 1,260.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.