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Finding the Fourth Proportional to 1,855.56, 2,560.35 and 1,069.86

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Solution

The fourth proportional to 1,855.56, 2,560.35 and 1,069.86 is: 1,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.56 : 2,560.35 = 1,069.86 : x
  2. Step 2: Convert to fraction form
    1,855.56/2,560.35 = 1,069.86/x
  3. Step 3: Cross multiply
    1,855.56x = 2,560.35 × 1,069.86
  4. Step 4: Simplify right side
    1,855.56x = 2,739,216.05
  5. Step 5: Solve for x
    x = 2,739,216.05/1,855.56
  6. Step 6: Final answer
    x = 1,476.22

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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.