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Finding the Fourth Proportional to 3,462.76, 4,776.42 and 2,414.44

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Solution

The fourth proportional to 3,462.76, 4,776.42 and 2,414.44 is: 3,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.76 : 4,776.42 = 2,414.44 : x
  2. Step 2: Convert to fraction form
    3,462.76/4,776.42 = 2,414.44/x
  3. Step 3: Cross multiply
    3,462.76x = 4,776.42 × 2,414.44
  4. Step 4: Simplify right side
    3,462.76x = 11,532,379.50
  5. Step 5: Solve for x
    x = 11,532,379.50/3,462.76
  6. Step 6: Final answer
    x = 3,330.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.