Home / 1,734.56-2,601.84-1,349

Finding the Fourth Proportional to 1,734.56, 2,601.84 and 1,349

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Solution

The fourth proportional to 1,734.56, 2,601.84 and 1,349 is: 2,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.56 : 2,601.84 = 1,349 : x
  2. Step 2: Convert to fraction form
    1,734.56/2,601.84 = 1,349/x
  3. Step 3: Cross multiply
    1,734.56x = 2,601.84 × 1,349
  4. Step 4: Simplify right side
    1,734.56x = 3,509,882.16
  5. Step 5: Solve for x
    x = 3,509,882.16/1,734.56
  6. Step 6: Final answer
    x = 2,023.50

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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.