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Finding the Fourth Proportional to 1,855.18, 2,560.44 and 1,265.86

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Solution

The fourth proportional to 1,855.18, 2,560.44 and 1,265.86 is: 1,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.18 : 2,560.44 = 1,265.86 : x
  2. Step 2: Convert to fraction form
    1,855.18/2,560.44 = 1,265.86/x
  3. Step 3: Cross multiply
    1,855.18x = 2,560.44 × 1,265.86
  4. Step 4: Simplify right side
    1,855.18x = 3,241,158.58
  5. Step 5: Solve for x
    x = 3,241,158.58/1,855.18
  6. Step 6: Final answer
    x = 1,747.09

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