Home / 2,471.38-3,685.63-2,108.50

Finding the Fourth Proportional to 2,471.38, 3,685.63 and 2,108.50

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Solution

The fourth proportional to 2,471.38, 3,685.63 and 2,108.50 is: 3,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.38 : 3,685.63 = 2,108.50 : x
  2. Step 2: Convert to fraction form
    2,471.38/3,685.63 = 2,108.50/x
  3. Step 3: Cross multiply
    2,471.38x = 3,685.63 × 2,108.50
  4. Step 4: Simplify right side
    2,471.38x = 7,771,140.31
  5. Step 5: Solve for x
    x = 7,771,140.31/2,471.38
  6. Step 6: Final answer
    x = 3,144.45

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Why These Related Problems?

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