Home / 1,742.16-2,614.13-1,157.56

Finding the Fourth Proportional to 1,742.16, 2,614.13 and 1,157.56

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Solution

The fourth proportional to 1,742.16, 2,614.13 and 1,157.56 is: 1,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.16 : 2,614.13 = 1,157.56 : x
  2. Step 2: Convert to fraction form
    1,742.16/2,614.13 = 1,157.56/x
  3. Step 3: Cross multiply
    1,742.16x = 2,614.13 × 1,157.56
  4. Step 4: Simplify right side
    1,742.16x = 3,026,014.95
  5. Step 5: Solve for x
    x = 3,026,014.95/1,742.16
  6. Step 6: Final answer
    x = 1,736.93

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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.