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Finding the Fourth Proportional to 2,318.66, 3,480.42 and 858.23

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Solution

The fourth proportional to 2,318.66, 3,480.42 and 858.23 is: 1,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.66 : 3,480.42 = 858.23 : x
  2. Step 2: Convert to fraction form
    2,318.66/3,480.42 = 858.23/x
  3. Step 3: Cross multiply
    2,318.66x = 3,480.42 × 858.23
  4. Step 4: Simplify right side
    2,318.66x = 2,986,983.45
  5. Step 5: Solve for x
    x = 2,986,983.45/2,318.66
  6. Step 6: Final answer
    x = 1,288.24

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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.