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Finding the Fourth Proportional to 1,914.41, 2,871.47 and 527.70

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Solution

The fourth proportional to 1,914.41, 2,871.47 and 527.70 is: 791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.41 : 2,871.47 = 527.70 : x
  2. Step 2: Convert to fraction form
    1,914.41/2,871.47 = 527.70/x
  3. Step 3: Cross multiply
    1,914.41x = 2,871.47 × 527.70
  4. Step 4: Simplify right side
    1,914.41x = 1,515,272.08
  5. Step 5: Solve for x
    x = 1,515,272.08/1,914.41
  6. Step 6: Final answer
    x = 791.51

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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.