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Finding the Fourth Proportional to 1,914.22, 2,871.35 and 527.43

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Solution

The fourth proportional to 1,914.22, 2,871.35 and 527.43 is: 791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.22 : 2,871.35 = 527.43 : x
  2. Step 2: Convert to fraction form
    1,914.22/2,871.35 = 527.43/x
  3. Step 3: Cross multiply
    1,914.22x = 2,871.35 × 527.43
  4. Step 4: Simplify right side
    1,914.22x = 1,514,436.13
  5. Step 5: Solve for x
    x = 1,514,436.13/1,914.22
  6. Step 6: Final answer
    x = 791.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.