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Finding the Fourth Proportional to 1,742.12, 2,611.12 and 766.18

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Solution

The fourth proportional to 1,742.12, 2,611.12 and 766.18 is: 1,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.12 : 2,611.12 = 766.18 : x
  2. Step 2: Convert to fraction form
    1,742.12/2,611.12 = 766.18/x
  3. Step 3: Cross multiply
    1,742.12x = 2,611.12 × 766.18
  4. Step 4: Simplify right side
    1,742.12x = 2,000,587.92
  5. Step 5: Solve for x
    x = 2,000,587.92/1,742.12
  6. Step 6: Final answer
    x = 1,148.36

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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.