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Finding the Fourth Proportional to 2,787.34, 4,182.63 and 1,056.10

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Solution

The fourth proportional to 2,787.34, 4,182.63 and 1,056.10 is: 1,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.34 : 4,182.63 = 1,056.10 : x
  2. Step 2: Convert to fraction form
    2,787.34/4,182.63 = 1,056.10/x
  3. Step 3: Cross multiply
    2,787.34x = 4,182.63 × 1,056.10
  4. Step 4: Simplify right side
    2,787.34x = 4,417,275.54
  5. Step 5: Solve for x
    x = 4,417,275.54/2,787.34
  6. Step 6: Final answer
    x = 1,584.76

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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.