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Finding the Fourth Proportional to 2,034.84, 3,052.40 and 574.11

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Solution

The fourth proportional to 2,034.84, 3,052.40 and 574.11 is: 861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.84 : 3,052.40 = 574.11 : x
  2. Step 2: Convert to fraction form
    2,034.84/3,052.40 = 574.11/x
  3. Step 3: Cross multiply
    2,034.84x = 3,052.40 × 574.11
  4. Step 4: Simplify right side
    2,034.84x = 1,752,410.49
  5. Step 5: Solve for x
    x = 1,752,410.49/2,034.84
  6. Step 6: Final answer
    x = 861.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.