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Finding the Fourth Proportional to 2,250.78, 3,106.08 and 1,256.13

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Solution

The fourth proportional to 2,250.78, 3,106.08 and 1,256.13 is: 1,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.78 : 3,106.08 = 1,256.13 : x
  2. Step 2: Convert to fraction form
    2,250.78/3,106.08 = 1,256.13/x
  3. Step 3: Cross multiply
    2,250.78x = 3,106.08 × 1,256.13
  4. Step 4: Simplify right side
    2,250.78x = 3,901,640.27
  5. Step 5: Solve for x
    x = 3,901,640.27/2,250.78
  6. Step 6: Final answer
    x = 1,733.46

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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.