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Finding the Fourth Proportional to 2,742.03, 4,113.14 and 794.25

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Solution

The fourth proportional to 2,742.03, 4,113.14 and 794.25 is: 1,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.03 : 4,113.14 = 794.25 : x
  2. Step 2: Convert to fraction form
    2,742.03/4,113.14 = 794.25/x
  3. Step 3: Cross multiply
    2,742.03x = 4,113.14 × 794.25
  4. Step 4: Simplify right side
    2,742.03x = 3,266,857.47
  5. Step 5: Solve for x
    x = 3,266,857.47/2,742.03
  6. Step 6: Final answer
    x = 1,191.40

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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.