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Finding the Fourth Proportional to 3,191.95, 4,403.77 and 1,865.58

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Solution

The fourth proportional to 3,191.95, 4,403.77 and 1,865.58 is: 2,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.95 : 4,403.77 = 1,865.58 : x
  2. Step 2: Convert to fraction form
    3,191.95/4,403.77 = 1,865.58/x
  3. Step 3: Cross multiply
    3,191.95x = 4,403.77 × 1,865.58
  4. Step 4: Simplify right side
    3,191.95x = 8,215,585.24
  5. Step 5: Solve for x
    x = 8,215,585.24/3,191.95
  6. Step 6: Final answer
    x = 2,573.85

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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.