Home / 1,748.25-2,412.32-1,159.52

Finding the Fourth Proportional to 1,748.25, 2,412.32 and 1,159.52

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Solution

The fourth proportional to 1,748.25, 2,412.32 and 1,159.52 is: 1,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.25 : 2,412.32 = 1,159.52 : x
  2. Step 2: Convert to fraction form
    1,748.25/2,412.32 = 1,159.52/x
  3. Step 3: Cross multiply
    1,748.25x = 2,412.32 × 1,159.52
  4. Step 4: Simplify right side
    1,748.25x = 2,797,115.43
  5. Step 5: Solve for x
    x = 2,797,115.43/1,748.25
  6. Step 6: Final answer
    x = 1,599.95

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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.