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Finding the Fourth Proportional to 1,854.26, 2,780.72 and 813.56

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Solution

The fourth proportional to 1,854.26, 2,780.72 and 813.56 is: 1,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.26 : 2,780.72 = 813.56 : x
  2. Step 2: Convert to fraction form
    1,854.26/2,780.72 = 813.56/x
  3. Step 3: Cross multiply
    1,854.26x = 2,780.72 × 813.56
  4. Step 4: Simplify right side
    1,854.26x = 2,262,282.56
  5. Step 5: Solve for x
    x = 2,262,282.56/1,854.26
  6. Step 6: Final answer
    x = 1,220.05

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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.