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Finding the Fourth Proportional to 2,253.92, 3,110.20 and 1,357.80

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Solution

The fourth proportional to 2,253.92, 3,110.20 and 1,357.80 is: 1,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.92 : 3,110.20 = 1,357.80 : x
  2. Step 2: Convert to fraction form
    2,253.92/3,110.20 = 1,357.80/x
  3. Step 3: Cross multiply
    2,253.92x = 3,110.20 × 1,357.80
  4. Step 4: Simplify right side
    2,253.92x = 4,223,029.56
  5. Step 5: Solve for x
    x = 4,223,029.56/2,253.92
  6. Step 6: Final answer
    x = 1,873.64

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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.