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Finding the Fourth Proportional to 2,427.56, 3,642.96 and 888.56

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Solution

The fourth proportional to 2,427.56, 3,642.96 and 888.56 is: 1,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.56 : 3,642.96 = 888.56 : x
  2. Step 2: Convert to fraction form
    2,427.56/3,642.96 = 888.56/x
  3. Step 3: Cross multiply
    2,427.56x = 3,642.96 × 888.56
  4. Step 4: Simplify right side
    2,427.56x = 3,236,988.54
  5. Step 5: Solve for x
    x = 3,236,988.54/2,427.56
  6. Step 6: Final answer
    x = 1,333.43

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1.5x scale

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.