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Finding the Fourth Proportional to 3,252.58, 4,878.85 and 787.40

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Solution

The fourth proportional to 3,252.58, 4,878.85 and 787.40 is: 1,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.58 : 4,878.85 = 787.40 : x
  2. Step 2: Convert to fraction form
    3,252.58/4,878.85 = 787.40/x
  3. Step 3: Cross multiply
    3,252.58x = 4,878.85 × 787.40
  4. Step 4: Simplify right side
    3,252.58x = 3,841,580.13
  5. Step 5: Solve for x
    x = 3,841,580.13/3,252.58
  6. Step 6: Final answer
    x = 1,181.09

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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.