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Finding the Fourth Proportional to 3,462.54, 5,193.65 and 1,613.01

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Solution

The fourth proportional to 3,462.54, 5,193.65 and 1,613.01 is: 2,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.54 : 5,193.65 = 1,613.01 : x
  2. Step 2: Convert to fraction form
    3,462.54/5,193.65 = 1,613.01/x
  3. Step 3: Cross multiply
    3,462.54x = 5,193.65 × 1,613.01
  4. Step 4: Simplify right side
    3,462.54x = 8,377,401.32
  5. Step 5: Solve for x
    x = 8,377,401.32/3,462.54
  6. Step 6: Final answer
    x = 2,419.44

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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.