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Finding the Fourth Proportional to 2,061.60, 3,091.44 and 600.42

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Solution

The fourth proportional to 2,061.60, 3,091.44 and 600.42 is: 900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.60 : 3,091.44 = 600.42 : x
  2. Step 2: Convert to fraction form
    2,061.60/3,091.44 = 600.42/x
  3. Step 3: Cross multiply
    2,061.60x = 3,091.44 × 600.42
  4. Step 4: Simplify right side
    2,061.60x = 1,856,162.40
  5. Step 5: Solve for x
    x = 1,856,162.40/2,061.60
  6. Step 6: Final answer
    x = 900.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.