Home / 1,742.24-2,611.40-768.20

Finding the Fourth Proportional to 1,742.24, 2,611.40 and 768.20

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Solution

The fourth proportional to 1,742.24, 2,611.40 and 768.20 is: 1,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.24 : 2,611.40 = 768.20 : x
  2. Step 2: Convert to fraction form
    1,742.24/2,611.40 = 768.20/x
  3. Step 3: Cross multiply
    1,742.24x = 2,611.40 × 768.20
  4. Step 4: Simplify right side
    1,742.24x = 2,006,077.48
  5. Step 5: Solve for x
    x = 2,006,077.48/1,742.24
  6. Step 6: Final answer
    x = 1,151.44

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1.5x scale

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.