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Finding the Fourth Proportional to 2,497.20, 3,444 and 1,787.85

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Solution

The fourth proportional to 2,497.20, 3,444 and 1,787.85 is: 2,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.20 : 3,444 = 1,787.85 : x
  2. Step 2: Convert to fraction form
    2,497.20/3,444 = 1,787.85/x
  3. Step 3: Cross multiply
    2,497.20x = 3,444 × 1,787.85
  4. Step 4: Simplify right side
    2,497.20x = 6,157,355.40
  5. Step 5: Solve for x
    x = 6,157,355.40/2,497.20
  6. Step 6: Final answer
    x = 2,465.70

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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.