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Finding the Fourth Proportional to 2,314.42, 3,470.92 and 927.02

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Solution

The fourth proportional to 2,314.42, 3,470.92 and 927.02 is: 1,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.42 : 3,470.92 = 927.02 : x
  2. Step 2: Convert to fraction form
    2,314.42/3,470.92 = 927.02/x
  3. Step 3: Cross multiply
    2,314.42x = 3,470.92 × 927.02
  4. Step 4: Simplify right side
    2,314.42x = 3,217,618.62
  5. Step 5: Solve for x
    x = 3,217,618.62/2,314.42
  6. Step 6: Final answer
    x = 1,390.25

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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.