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Finding the Fourth Proportional to 2,932.94, 4,393.20 and 2,313.74

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Solution

The fourth proportional to 2,932.94, 4,393.20 and 2,313.74 is: 3,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.94 : 4,393.20 = 2,313.74 : x
  2. Step 2: Convert to fraction form
    2,932.94/4,393.20 = 2,313.74/x
  3. Step 3: Cross multiply
    2,932.94x = 4,393.20 × 2,313.74
  4. Step 4: Simplify right side
    2,932.94x = 10,164,722.57
  5. Step 5: Solve for x
    x = 10,164,722.57/2,932.94
  6. Step 6: Final answer
    x = 3,465.71

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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.