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Finding the Fourth Proportional to 2,140.92, 2,954.34 and 1,256.88

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Solution

The fourth proportional to 2,140.92, 2,954.34 and 1,256.88 is: 1,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.92 : 2,954.34 = 1,256.88 : x
  2. Step 2: Convert to fraction form
    2,140.92/2,954.34 = 1,256.88/x
  3. Step 3: Cross multiply
    2,140.92x = 2,954.34 × 1,256.88
  4. Step 4: Simplify right side
    2,140.92x = 3,713,250.86
  5. Step 5: Solve for x
    x = 3,713,250.86/2,140.92
  6. Step 6: Final answer
    x = 1,734.42

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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.