Home / 2,082.64-3,117.48-1,559.56

Finding the Fourth Proportional to 2,082.64, 3,117.48 and 1,559.56

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Solution

The fourth proportional to 2,082.64, 3,117.48 and 1,559.56 is: 2,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.64 : 3,117.48 = 1,559.56 : x
  2. Step 2: Convert to fraction form
    2,082.64/3,117.48 = 1,559.56/x
  3. Step 3: Cross multiply
    2,082.64x = 3,117.48 × 1,559.56
  4. Step 4: Simplify right side
    2,082.64x = 4,861,897.11
  5. Step 5: Solve for x
    x = 4,861,897.11/2,082.64
  6. Step 6: Final answer
    x = 2,334.49

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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.