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Finding the Fourth Proportional to 2,034.74, 3,052.47 and 735.91

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Solution

The fourth proportional to 2,034.74, 3,052.47 and 735.91 is: 1,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.74 : 3,052.47 = 735.91 : x
  2. Step 2: Convert to fraction form
    2,034.74/3,052.47 = 735.91/x
  3. Step 3: Cross multiply
    2,034.74x = 3,052.47 × 735.91
  4. Step 4: Simplify right side
    2,034.74x = 2,246,343.20
  5. Step 5: Solve for x
    x = 2,246,343.20/2,034.74
  6. Step 6: Final answer
    x = 1,104.00

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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.