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Finding the Fourth Proportional to 1,441.59, 2,162.13 and 387.42

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Solution

The fourth proportional to 1,441.59, 2,162.13 and 387.42 is: 581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.59 : 2,162.13 = 387.42 : x
  2. Step 2: Convert to fraction form
    1,441.59/2,162.13 = 387.42/x
  3. Step 3: Cross multiply
    1,441.59x = 2,162.13 × 387.42
  4. Step 4: Simplify right side
    1,441.59x = 837,652.40
  5. Step 5: Solve for x
    x = 837,652.40/1,441.59
  6. Step 6: Final answer
    x = 581.06

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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.