Home / 2,314.48-3,471.70-1,082.47

Finding the Fourth Proportional to 2,314.48, 3,471.70 and 1,082.47

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Solution

The fourth proportional to 2,314.48, 3,471.70 and 1,082.47 is: 1,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.48 : 3,471.70 = 1,082.47 : x
  2. Step 2: Convert to fraction form
    2,314.48/3,471.70 = 1,082.47/x
  3. Step 3: Cross multiply
    2,314.48x = 3,471.70 × 1,082.47
  4. Step 4: Simplify right side
    2,314.48x = 3,758,011.10
  5. Step 5: Solve for x
    x = 3,758,011.10/2,314.48
  6. Step 6: Final answer
    x = 1,623.70

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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.