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Finding the Fourth Proportional to 1,594.32, 2,393.49 and 1,520.46

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Solution

The fourth proportional to 1,594.32, 2,393.49 and 1,520.46 is: 2,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.32 : 2,393.49 = 1,520.46 : x
  2. Step 2: Convert to fraction form
    1,594.32/2,393.49 = 1,520.46/x
  3. Step 3: Cross multiply
    1,594.32x = 2,393.49 × 1,520.46
  4. Step 4: Simplify right side
    1,594.32x = 3,639,205.81
  5. Step 5: Solve for x
    x = 3,639,205.81/1,594.32
  6. Step 6: Final answer
    x = 2,282.61

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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.