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Finding the Fourth Proportional to 1,613.12, 2,408.09 and 1,542.20

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Solution

The fourth proportional to 1,613.12, 2,408.09 and 1,542.20 is: 2,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.12 : 2,408.09 = 1,542.20 : x
  2. Step 2: Convert to fraction form
    1,613.12/2,408.09 = 1,542.20/x
  3. Step 3: Cross multiply
    1,613.12x = 2,408.09 × 1,542.20
  4. Step 4: Simplify right side
    1,613.12x = 3,713,756.40
  5. Step 5: Solve for x
    x = 3,713,756.40/1,613.12
  6. Step 6: Final answer
    x = 2,302.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.