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Finding the Fourth Proportional to 2,742.13, 4,113.23 and 794.34

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Solution

The fourth proportional to 2,742.13, 4,113.23 and 794.34 is: 1,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.13 : 4,113.23 = 794.34 : x
  2. Step 2: Convert to fraction form
    2,742.13/4,113.23 = 794.34/x
  3. Step 3: Cross multiply
    2,742.13x = 4,113.23 × 794.34
  4. Step 4: Simplify right side
    2,742.13x = 3,267,303.12
  5. Step 5: Solve for x
    x = 3,267,303.12/2,742.13
  6. Step 6: Final answer
    x = 1,191.52

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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.