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Finding the Fourth Proportional to 3,462.54, 5,191.74 and 1,614.07

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Solution

The fourth proportional to 3,462.54, 5,191.74 and 1,614.07 is: 2,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.54 : 5,191.74 = 1,614.07 : x
  2. Step 2: Convert to fraction form
    3,462.54/5,191.74 = 1,614.07/x
  3. Step 3: Cross multiply
    3,462.54x = 5,191.74 × 1,614.07
  4. Step 4: Simplify right side
    3,462.54x = 8,379,818.80
  5. Step 5: Solve for x
    x = 8,379,818.80/3,462.54
  6. Step 6: Final answer
    x = 2,420.14

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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.