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Finding the Fourth Proportional to 1,589.32, 2,384.22 and 723.64

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Solution

The fourth proportional to 1,589.32, 2,384.22 and 723.64 is: 1,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.32 : 2,384.22 = 723.64 : x
  2. Step 2: Convert to fraction form
    1,589.32/2,384.22 = 723.64/x
  3. Step 3: Cross multiply
    1,589.32x = 2,384.22 × 723.64
  4. Step 4: Simplify right side
    1,589.32x = 1,725,316.96
  5. Step 5: Solve for x
    x = 1,725,316.96/1,589.32
  6. Step 6: Final answer
    x = 1,085.57

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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.