Home / 1,742.40-2,613.60-1,159.20

Finding the Fourth Proportional to 1,742.40, 2,613.60 and 1,159.20

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Solution

The fourth proportional to 1,742.40, 2,613.60 and 1,159.20 is: 1,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.40 : 2,613.60 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    1,742.40/2,613.60 = 1,159.20/x
  3. Step 3: Cross multiply
    1,742.40x = 2,613.60 × 1,159.20
  4. Step 4: Simplify right side
    1,742.40x = 3,029,685.12
  5. Step 5: Solve for x
    x = 3,029,685.12/1,742.40
  6. Step 6: Final answer
    x = 1,738.80

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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.