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Finding the Fourth Proportional to 1,857.56, 2,787.69 and 1,496.71

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Solution

The fourth proportional to 1,857.56, 2,787.69 and 1,496.71 is: 2,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.56 : 2,787.69 = 1,496.71 : x
  2. Step 2: Convert to fraction form
    1,857.56/2,787.69 = 1,496.71/x
  3. Step 3: Cross multiply
    1,857.56x = 2,787.69 × 1,496.71
  4. Step 4: Simplify right side
    1,857.56x = 4,172,363.50
  5. Step 5: Solve for x
    x = 4,172,363.50/1,857.56
  6. Step 6: Final answer
    x = 2,246.15

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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.