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Finding the Fourth Proportional to 2,535.42, 3,785.42 and 2,188.38

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Solution

The fourth proportional to 2,535.42, 3,785.42 and 2,188.38 is: 3,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.42 : 3,785.42 = 2,188.38 : x
  2. Step 2: Convert to fraction form
    2,535.42/3,785.42 = 2,188.38/x
  3. Step 3: Cross multiply
    2,535.42x = 3,785.42 × 2,188.38
  4. Step 4: Simplify right side
    2,535.42x = 8,283,926.48
  5. Step 5: Solve for x
    x = 8,283,926.48/2,535.42
  6. Step 6: Final answer
    x = 3,267.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.