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Finding the Fourth Proportional to 1,544.52, 2,131.38 and 881.32

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Solution

The fourth proportional to 1,544.52, 2,131.38 and 881.32 is: 1,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.52 : 2,131.38 = 881.32 : x
  2. Step 2: Convert to fraction form
    1,544.52/2,131.38 = 881.32/x
  3. Step 3: Cross multiply
    1,544.52x = 2,131.38 × 881.32
  4. Step 4: Simplify right side
    1,544.52x = 1,878,427.82
  5. Step 5: Solve for x
    x = 1,878,427.82/1,544.52
  6. Step 6: Final answer
    x = 1,216.19

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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.