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Finding the Fourth Proportional to 2,150.78, 3,225.90 and 852.35

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Solution

The fourth proportional to 2,150.78, 3,225.90 and 852.35 is: 1,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.78 : 3,225.90 = 852.35 : x
  2. Step 2: Convert to fraction form
    2,150.78/3,225.90 = 852.35/x
  3. Step 3: Cross multiply
    2,150.78x = 3,225.90 × 852.35
  4. Step 4: Simplify right side
    2,150.78x = 2,749,595.87
  5. Step 5: Solve for x
    x = 2,749,595.87/2,150.78
  6. Step 6: Final answer
    x = 1,278.42

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