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Finding the Fourth Proportional to 2,763.82, 3,811.35 and 2,343.70

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Solution

The fourth proportional to 2,763.82, 3,811.35 and 2,343.70 is: 3,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.82 : 3,811.35 = 2,343.70 : x
  2. Step 2: Convert to fraction form
    2,763.82/3,811.35 = 2,343.70/x
  3. Step 3: Cross multiply
    2,763.82x = 3,811.35 × 2,343.70
  4. Step 4: Simplify right side
    2,763.82x = 8,932,661.00
  5. Step 5: Solve for x
    x = 8,932,661.00/2,763.82
  6. Step 6: Final answer
    x = 3,232.00

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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.