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Finding the Fourth Proportional to 3,191.90, 4,404.58 and 1,933.65

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Solution

The fourth proportional to 3,191.90, 4,404.58 and 1,933.65 is: 2,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.90 : 4,404.58 = 1,933.65 : x
  2. Step 2: Convert to fraction form
    3,191.90/4,404.58 = 1,933.65/x
  3. Step 3: Cross multiply
    3,191.90x = 4,404.58 × 1,933.65
  4. Step 4: Simplify right side
    3,191.90x = 8,516,916.12
  5. Step 5: Solve for x
    x = 8,516,916.12/3,191.90
  6. Step 6: Final answer
    x = 2,668.29

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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.