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Finding the Fourth Proportional to 2,432.95, 3,653.09 and 1,944.55

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Solution

The fourth proportional to 2,432.95, 3,653.09 and 1,944.55 is: 2,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.95 : 3,653.09 = 1,944.55 : x
  2. Step 2: Convert to fraction form
    2,432.95/3,653.09 = 1,944.55/x
  3. Step 3: Cross multiply
    2,432.95x = 3,653.09 × 1,944.55
  4. Step 4: Simplify right side
    2,432.95x = 7,103,616.16
  5. Step 5: Solve for x
    x = 7,103,616.16/2,432.95
  6. Step 6: Final answer
    x = 2,919.75

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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.