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Finding the Fourth Proportional to 1,627.29, 2,245.68 and 881.26

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Solution

The fourth proportional to 1,627.29, 2,245.68 and 881.26 is: 1,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.29 : 2,245.68 = 881.26 : x
  2. Step 2: Convert to fraction form
    1,627.29/2,245.68 = 881.26/x
  3. Step 3: Cross multiply
    1,627.29x = 2,245.68 × 881.26
  4. Step 4: Simplify right side
    1,627.29x = 1,979,012.32
  5. Step 5: Solve for x
    x = 1,979,012.32/1,627.29
  6. Step 6: Final answer
    x = 1,216.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.