Home / 1,748.74-2,414.26-1,160.08

Finding the Fourth Proportional to 1,748.74, 2,414.26 and 1,160.08

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Solution

The fourth proportional to 1,748.74, 2,414.26 and 1,160.08 is: 1,601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.74 : 2,414.26 = 1,160.08 : x
  2. Step 2: Convert to fraction form
    1,748.74/2,414.26 = 1,160.08/x
  3. Step 3: Cross multiply
    1,748.74x = 2,414.26 × 1,160.08
  4. Step 4: Simplify right side
    1,748.74x = 2,800,734.74
  5. Step 5: Solve for x
    x = 2,800,734.74/1,748.74
  6. Step 6: Final answer
    x = 1,601.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.