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Finding the Fourth Proportional to 1,589.18, 2,384.45 and 859.27

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Solution

The fourth proportional to 1,589.18, 2,384.45 and 859.27 is: 1,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.18 : 2,384.45 = 859.27 : x
  2. Step 2: Convert to fraction form
    1,589.18/2,384.45 = 859.27/x
  3. Step 3: Cross multiply
    1,589.18x = 2,384.45 × 859.27
  4. Step 4: Simplify right side
    1,589.18x = 2,048,886.35
  5. Step 5: Solve for x
    x = 2,048,886.35/1,589.18
  6. Step 6: Final answer
    x = 1,289.27

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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.