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Finding the Fourth Proportional to 2,256.96, 3,112.80 and 1,427.52

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Solution

The fourth proportional to 2,256.96, 3,112.80 and 1,427.52 is: 1,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.96 : 3,112.80 = 1,427.52 : x
  2. Step 2: Convert to fraction form
    2,256.96/3,112.80 = 1,427.52/x
  3. Step 3: Cross multiply
    2,256.96x = 3,112.80 × 1,427.52
  4. Step 4: Simplify right side
    2,256.96x = 4,443,584.26
  5. Step 5: Solve for x
    x = 4,443,584.26/2,256.96
  6. Step 6: Final answer
    x = 1,968.84

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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.