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Finding the Fourth Proportional to 2,034.34, 3,052.95 and 880.18

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Solution

The fourth proportional to 2,034.34, 3,052.95 and 880.18 is: 1,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.34 : 3,052.95 = 880.18 : x
  2. Step 2: Convert to fraction form
    2,034.34/3,052.95 = 880.18/x
  3. Step 3: Cross multiply
    2,034.34x = 3,052.95 × 880.18
  4. Step 4: Simplify right side
    2,034.34x = 2,687,145.53
  5. Step 5: Solve for x
    x = 2,687,145.53/2,034.34
  6. Step 6: Final answer
    x = 1,320.89

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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.