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Finding the Fourth Proportional to 1,382.39, 2,073.26 and 395.18

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Solution

The fourth proportional to 1,382.39, 2,073.26 and 395.18 is: 592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.39 : 2,073.26 = 395.18 : x
  2. Step 2: Convert to fraction form
    1,382.39/2,073.26 = 395.18/x
  3. Step 3: Cross multiply
    1,382.39x = 2,073.26 × 395.18
  4. Step 4: Simplify right side
    1,382.39x = 819,317.06
  5. Step 5: Solve for x
    x = 819,317.06/1,382.39
  6. Step 6: Final answer
    x = 592.68

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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.