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Finding the Fourth Proportional to 1,853.56, 2,560.38 and 1,508.44

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Solution

The fourth proportional to 1,853.56, 2,560.38 and 1,508.44 is: 2,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.56 : 2,560.38 = 1,508.44 : x
  2. Step 2: Convert to fraction form
    1,853.56/2,560.38 = 1,508.44/x
  3. Step 3: Cross multiply
    1,853.56x = 2,560.38 × 1,508.44
  4. Step 4: Simplify right side
    1,853.56x = 3,862,179.61
  5. Step 5: Solve for x
    x = 3,862,179.61/1,853.56
  6. Step 6: Final answer
    x = 2,083.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.