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Finding the Fourth Proportional to 2,787.84, 4,180.32 and 1,248

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Solution

The fourth proportional to 2,787.84, 4,180.32 and 1,248 is: 1,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.84 : 4,180.32 = 1,248 : x
  2. Step 2: Convert to fraction form
    2,787.84/4,180.32 = 1,248/x
  3. Step 3: Cross multiply
    2,787.84x = 4,180.32 × 1,248
  4. Step 4: Simplify right side
    2,787.84x = 5,217,039.36
  5. Step 5: Solve for x
    x = 5,217,039.36/2,787.84
  6. Step 6: Final answer
    x = 1,871.36

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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.