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Finding the Fourth Proportional to 2,787.49, 4,184.88 and 2,357.38

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Solution

The fourth proportional to 2,787.49, 4,184.88 and 2,357.38 is: 3,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.49 : 4,184.88 = 2,357.38 : x
  2. Step 2: Convert to fraction form
    2,787.49/4,184.88 = 2,357.38/x
  3. Step 3: Cross multiply
    2,787.49x = 4,184.88 × 2,357.38
  4. Step 4: Simplify right side
    2,787.49x = 9,865,352.41
  5. Step 5: Solve for x
    x = 9,865,352.41/2,787.49
  6. Step 6: Final answer
    x = 3,539.15

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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.