Home / 2,471.31-3,704.23-1,648.45

Finding the Fourth Proportional to 2,471.31, 3,704.23 and 1,648.45

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Solution

The fourth proportional to 2,471.31, 3,704.23 and 1,648.45 is: 2,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.31 : 3,704.23 = 1,648.45 : x
  2. Step 2: Convert to fraction form
    2,471.31/3,704.23 = 1,648.45/x
  3. Step 3: Cross multiply
    2,471.31x = 3,704.23 × 1,648.45
  4. Step 4: Simplify right side
    2,471.31x = 6,106,244.63
  5. Step 5: Solve for x
    x = 6,106,244.63/2,471.31
  6. Step 6: Final answer
    x = 2,470.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.