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Finding the Fourth Proportional to 2,788.01, 3,847.17 and 1,609.46

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Solution

The fourth proportional to 2,788.01, 3,847.17 and 1,609.46 is: 2,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.01 : 3,847.17 = 1,609.46 : x
  2. Step 2: Convert to fraction form
    2,788.01/3,847.17 = 1,609.46/x
  3. Step 3: Cross multiply
    2,788.01x = 3,847.17 × 1,609.46
  4. Step 4: Simplify right side
    2,788.01x = 6,191,838.95
  5. Step 5: Solve for x
    x = 6,191,838.95/2,788.01
  6. Step 6: Final answer
    x = 2,220.89

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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.