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Finding the Fourth Proportional to 2,251.16, 3,106.56 and 1,256.42

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Solution

The fourth proportional to 2,251.16, 3,106.56 and 1,256.42 is: 1,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.16 : 3,106.56 = 1,256.42 : x
  2. Step 2: Convert to fraction form
    2,251.16/3,106.56 = 1,256.42/x
  3. Step 3: Cross multiply
    2,251.16x = 3,106.56 × 1,256.42
  4. Step 4: Simplify right side
    2,251.16x = 3,903,144.12
  5. Step 5: Solve for x
    x = 3,903,144.12/2,251.16
  6. Step 6: Final answer
    x = 1,733.84

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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.