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Finding the Fourth Proportional to 1,914.45, 2,871.13 and 527.44

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Solution

The fourth proportional to 1,914.45, 2,871.13 and 527.44 is: 791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.45 : 2,871.13 = 527.44 : x
  2. Step 2: Convert to fraction form
    1,914.45/2,871.13 = 527.44/x
  3. Step 3: Cross multiply
    1,914.45x = 2,871.13 × 527.44
  4. Step 4: Simplify right side
    1,914.45x = 1,514,348.81
  5. Step 5: Solve for x
    x = 1,514,348.81/1,914.45
  6. Step 6: Final answer
    x = 791.01

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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.