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Finding the Fourth Proportional to 2,770.40, 4,143.36 and 2,464.40

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Solution

The fourth proportional to 2,770.40, 4,143.36 and 2,464.40 is: 3,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.40 : 4,143.36 = 2,464.40 : x
  2. Step 2: Convert to fraction form
    2,770.40/4,143.36 = 2,464.40/x
  3. Step 3: Cross multiply
    2,770.40x = 4,143.36 × 2,464.40
  4. Step 4: Simplify right side
    2,770.40x = 10,210,896.38
  5. Step 5: Solve for x
    x = 10,210,896.38/2,770.40
  6. Step 6: Final answer
    x = 3,685.71

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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.