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Finding the Fourth Proportional to 2,250.96, 3,106.45 and 1,256.41

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Solution

The fourth proportional to 2,250.96, 3,106.45 and 1,256.41 is: 1,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.96 : 3,106.45 = 1,256.41 : x
  2. Step 2: Convert to fraction form
    2,250.96/3,106.45 = 1,256.41/x
  3. Step 3: Cross multiply
    2,250.96x = 3,106.45 × 1,256.41
  4. Step 4: Simplify right side
    2,250.96x = 3,902,980.30
  5. Step 5: Solve for x
    x = 3,902,980.30/2,250.96
  6. Step 6: Final answer
    x = 1,733.92

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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.