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Finding the Fourth Proportional to 2,381.82, 3,287.12 and 1,387.19

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Solution

The fourth proportional to 2,381.82, 3,287.12 and 1,387.19 is: 1,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.82 : 3,287.12 = 1,387.19 : x
  2. Step 2: Convert to fraction form
    2,381.82/3,287.12 = 1,387.19/x
  3. Step 3: Cross multiply
    2,381.82x = 3,287.12 × 1,387.19
  4. Step 4: Simplify right side
    2,381.82x = 4,559,853.06
  5. Step 5: Solve for x
    x = 4,559,853.06/2,381.82
  6. Step 6: Final answer
    x = 1,914.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.