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Finding the Fourth Proportional to 1,382.61, 2,073.59 and 395.40

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Solution

The fourth proportional to 1,382.61, 2,073.59 and 395.40 is: 593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.61 : 2,073.59 = 395.40 : x
  2. Step 2: Convert to fraction form
    1,382.61/2,073.59 = 395.40/x
  3. Step 3: Cross multiply
    1,382.61x = 2,073.59 × 395.40
  4. Step 4: Simplify right side
    1,382.61x = 819,897.49
  5. Step 5: Solve for x
    x = 819,897.49/1,382.61
  6. Step 6: Final answer
    x = 593.01

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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.