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Finding the Fourth Proportional to 1,854.68, 2,777.96 and 813.29

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Solution

The fourth proportional to 1,854.68, 2,777.96 and 813.29 is: 1,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.68 : 2,777.96 = 813.29 : x
  2. Step 2: Convert to fraction form
    1,854.68/2,777.96 = 813.29/x
  3. Step 3: Cross multiply
    1,854.68x = 2,777.96 × 813.29
  4. Step 4: Simplify right side
    1,854.68x = 2,259,275.23
  5. Step 5: Solve for x
    x = 2,259,275.23/1,854.68
  6. Step 6: Final answer
    x = 1,218.15

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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.