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Finding the Fourth Proportional to 1,856.17, 2,783.85 and 868.38

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Solution

The fourth proportional to 1,856.17, 2,783.85 and 868.38 is: 1,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.17 : 2,783.85 = 868.38 : x
  2. Step 2: Convert to fraction form
    1,856.17/2,783.85 = 868.38/x
  3. Step 3: Cross multiply
    1,856.17x = 2,783.85 × 868.38
  4. Step 4: Simplify right side
    1,856.17x = 2,417,439.66
  5. Step 5: Solve for x
    x = 2,417,439.66/1,856.17
  6. Step 6: Final answer
    x = 1,302.38

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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.