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Finding the Fourth Proportional to 2,256.56, 3,115.40 and 1,758

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Solution

The fourth proportional to 2,256.56, 3,115.40 and 1,758 is: 2,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.56 : 3,115.40 = 1,758 : x
  2. Step 2: Convert to fraction form
    2,256.56/3,115.40 = 1,758/x
  3. Step 3: Cross multiply
    2,256.56x = 3,115.40 × 1,758
  4. Step 4: Simplify right side
    2,256.56x = 5,476,873.20
  5. Step 5: Solve for x
    x = 5,476,873.20/2,256.56
  6. Step 6: Final answer
    x = 2,427.09

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