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Finding the Fourth Proportional to 1,589.31, 2,384.86 and 858.87

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Solution

The fourth proportional to 1,589.31, 2,384.86 and 858.87 is: 1,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.31 : 2,384.86 = 858.87 : x
  2. Step 2: Convert to fraction form
    1,589.31/2,384.86 = 858.87/x
  3. Step 3: Cross multiply
    1,589.31x = 2,384.86 × 858.87
  4. Step 4: Simplify right side
    1,589.31x = 2,048,284.71
  5. Step 5: Solve for x
    x = 2,048,284.71/1,589.31
  6. Step 6: Final answer
    x = 1,288.79

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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.