Home / 1,742.52-2,608.74-1,164.36

Finding the Fourth Proportional to 1,742.52, 2,608.74 and 1,164.36

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Solution

The fourth proportional to 1,742.52, 2,608.74 and 1,164.36 is: 1,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.52 : 2,608.74 = 1,164.36 : x
  2. Step 2: Convert to fraction form
    1,742.52/2,608.74 = 1,164.36/x
  3. Step 3: Cross multiply
    1,742.52x = 2,608.74 × 1,164.36
  4. Step 4: Simplify right side
    1,742.52x = 3,037,512.51
  5. Step 5: Solve for x
    x = 3,037,512.51/1,742.52
  6. Step 6: Final answer
    x = 1,743.17

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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.