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Finding the Fourth Proportional to 2,254.39, 3,381.78 and 588.74

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Solution

The fourth proportional to 2,254.39, 3,381.78 and 588.74 is: 883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.39 : 3,381.78 = 588.74 : x
  2. Step 2: Convert to fraction form
    2,254.39/3,381.78 = 588.74/x
  3. Step 3: Cross multiply
    2,254.39x = 3,381.78 × 588.74
  4. Step 4: Simplify right side
    2,254.39x = 1,990,980.70
  5. Step 5: Solve for x
    x = 1,990,980.70/2,254.39
  6. Step 6: Final answer
    x = 883.16

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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.