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Finding the Fourth Proportional to 3,404.33, 4,696.86 and 1,987.70

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Solution

The fourth proportional to 3,404.33, 4,696.86 and 1,987.70 is: 2,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.33 : 4,696.86 = 1,987.70 : x
  2. Step 2: Convert to fraction form
    3,404.33/4,696.86 = 1,987.70/x
  3. Step 3: Cross multiply
    3,404.33x = 4,696.86 × 1,987.70
  4. Step 4: Simplify right side
    3,404.33x = 9,335,948.62
  5. Step 5: Solve for x
    x = 9,335,948.62/3,404.33
  6. Step 6: Final answer
    x = 2,742.37

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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.