Home / 1,734.74-2,601.99-502.12

Finding the Fourth Proportional to 1,734.74, 2,601.99 and 502.12

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Solution

The fourth proportional to 1,734.74, 2,601.99 and 502.12 is: 753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.74 : 2,601.99 = 502.12 : x
  2. Step 2: Convert to fraction form
    1,734.74/2,601.99 = 502.12/x
  3. Step 3: Cross multiply
    1,734.74x = 2,601.99 × 502.12
  4. Step 4: Simplify right side
    1,734.74x = 1,306,498.21
  5. Step 5: Solve for x
    x = 1,306,498.21/1,734.74
  6. Step 6: Final answer
    x = 753.14

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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.