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Finding the Fourth Proportional to 3,256.12, 4,488.78 and 2,323

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Solution

The fourth proportional to 3,256.12, 4,488.78 and 2,323 is: 3,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.12 : 4,488.78 = 2,323 : x
  2. Step 2: Convert to fraction form
    3,256.12/4,488.78 = 2,323/x
  3. Step 3: Cross multiply
    3,256.12x = 4,488.78 × 2,323
  4. Step 4: Simplify right side
    3,256.12x = 10,427,435.94
  5. Step 5: Solve for x
    x = 10,427,435.94/3,256.12
  6. Step 6: Final answer
    x = 3,202.41

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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.