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Finding the Fourth Proportional to 1,855.27, 2,560.35 and 1,069.39

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Solution

The fourth proportional to 1,855.27, 2,560.35 and 1,069.39 is: 1,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.27 : 2,560.35 = 1,069.39 : x
  2. Step 2: Convert to fraction form
    1,855.27/2,560.35 = 1,069.39/x
  3. Step 3: Cross multiply
    1,855.27x = 2,560.35 × 1,069.39
  4. Step 4: Simplify right side
    1,855.27x = 2,738,012.69
  5. Step 5: Solve for x
    x = 2,738,012.69/1,855.27
  6. Step 6: Final answer
    x = 1,475.80

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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.