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Finding the Fourth Proportional to 2,902.35, 4,351.13 and 1,442.52

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Solution

The fourth proportional to 2,902.35, 4,351.13 and 1,442.52 is: 2,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.35 : 4,351.13 = 1,442.52 : x
  2. Step 2: Convert to fraction form
    2,902.35/4,351.13 = 1,442.52/x
  3. Step 3: Cross multiply
    2,902.35x = 4,351.13 × 1,442.52
  4. Step 4: Simplify right side
    2,902.35x = 6,276,584.84
  5. Step 5: Solve for x
    x = 6,276,584.84/2,902.35
  6. Step 6: Final answer
    x = 2,162.59

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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.