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Finding the Fourth Proportional to 2,462.67, 3,700.13 and 2,186.19

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Solution

The fourth proportional to 2,462.67, 3,700.13 and 2,186.19 is: 3,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.67 : 3,700.13 = 2,186.19 : x
  2. Step 2: Convert to fraction form
    2,462.67/3,700.13 = 2,186.19/x
  3. Step 3: Cross multiply
    2,462.67x = 3,700.13 × 2,186.19
  4. Step 4: Simplify right side
    2,462.67x = 8,089,176.27
  5. Step 5: Solve for x
    x = 8,089,176.27/2,462.67
  6. Step 6: Final answer
    x = 3,284.72

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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.