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Finding the Fourth Proportional to 1,854.29, 2,781.34 and 467.63

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Solution

The fourth proportional to 1,854.29, 2,781.34 and 467.63 is: 701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.29 : 2,781.34 = 467.63 : x
  2. Step 2: Convert to fraction form
    1,854.29/2,781.34 = 467.63/x
  3. Step 3: Cross multiply
    1,854.29x = 2,781.34 × 467.63
  4. Step 4: Simplify right side
    1,854.29x = 1,300,633.38
  5. Step 5: Solve for x
    x = 1,300,633.38/1,854.29
  6. Step 6: Final answer
    x = 701.42

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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.