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Finding the Fourth Proportional to 3,191.99, 4,404.56 and 1,864.76

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Solution

The fourth proportional to 3,191.99, 4,404.56 and 1,864.76 is: 2,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.99 : 4,404.56 = 1,864.76 : x
  2. Step 2: Convert to fraction form
    3,191.99/4,404.56 = 1,864.76/x
  3. Step 3: Cross multiply
    3,191.99x = 4,404.56 × 1,864.76
  4. Step 4: Simplify right side
    3,191.99x = 8,213,415.96
  5. Step 5: Solve for x
    x = 8,213,415.96/3,191.99
  6. Step 6: Final answer
    x = 2,573.14

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Double scale
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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.