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Finding the Fourth Proportional to 2,382.91, 3,574.65 and 739.61

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Solution

The fourth proportional to 2,382.91, 3,574.65 and 739.61 is: 1,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.91 : 3,574.65 = 739.61 : x
  2. Step 2: Convert to fraction form
    2,382.91/3,574.65 = 739.61/x
  3. Step 3: Cross multiply
    2,382.91x = 3,574.65 × 739.61
  4. Step 4: Simplify right side
    2,382.91x = 2,643,846.89
  5. Step 5: Solve for x
    x = 2,643,846.89/2,382.91
  6. Step 6: Final answer
    x = 1,109.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.