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Finding the Fourth Proportional to 2,318.02, 3,476.82 and 856.90

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Solution

The fourth proportional to 2,318.02, 3,476.82 and 856.90 is: 1,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.02 : 3,476.82 = 856.90 : x
  2. Step 2: Convert to fraction form
    2,318.02/3,476.82 = 856.90/x
  3. Step 3: Cross multiply
    2,318.02x = 3,476.82 × 856.90
  4. Step 4: Simplify right side
    2,318.02x = 2,979,287.06
  5. Step 5: Solve for x
    x = 2,979,287.06/2,318.02
  6. Step 6: Final answer
    x = 1,285.27

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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.