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Finding the Fourth Proportional to 3,235.56, 4,853.46 and 1,044

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Solution

The fourth proportional to 3,235.56, 4,853.46 and 1,044 is: 1,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.56 : 4,853.46 = 1,044 : x
  2. Step 2: Convert to fraction form
    3,235.56/4,853.46 = 1,044/x
  3. Step 3: Cross multiply
    3,235.56x = 4,853.46 × 1,044
  4. Step 4: Simplify right side
    3,235.56x = 5,067,012.24
  5. Step 5: Solve for x
    x = 5,067,012.24/3,235.56
  6. Step 6: Final answer
    x = 1,566.04

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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.