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Finding the Fourth Proportional to 1,247.27, 1,867.53 and 881.15

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Solution

The fourth proportional to 1,247.27, 1,867.53 and 881.15 is: 1,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.27 : 1,867.53 = 881.15 : x
  2. Step 2: Convert to fraction form
    1,247.27/1,867.53 = 881.15/x
  3. Step 3: Cross multiply
    1,247.27x = 1,867.53 × 881.15
  4. Step 4: Simplify right side
    1,247.27x = 1,645,574.06
  5. Step 5: Solve for x
    x = 1,645,574.06/1,247.27
  6. Step 6: Final answer
    x = 1,319.34

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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.