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Finding the Fourth Proportional to 2,684.83, 3,703.02 and 2,352.66

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Solution

The fourth proportional to 2,684.83, 3,703.02 and 2,352.66 is: 3,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.83 : 3,703.02 = 2,352.66 : x
  2. Step 2: Convert to fraction form
    2,684.83/3,703.02 = 2,352.66/x
  3. Step 3: Cross multiply
    2,684.83x = 3,703.02 × 2,352.66
  4. Step 4: Simplify right side
    2,684.83x = 8,711,947.03
  5. Step 5: Solve for x
    x = 8,711,947.03/2,684.83
  6. Step 6: Final answer
    x = 3,244.88

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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.