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Finding the Fourth Proportional to 2,336.86, 3,500.52 and 1,456.48

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Solution

The fourth proportional to 2,336.86, 3,500.52 and 1,456.48 is: 2,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.86 : 3,500.52 = 1,456.48 : x
  2. Step 2: Convert to fraction form
    2,336.86/3,500.52 = 1,456.48/x
  3. Step 3: Cross multiply
    2,336.86x = 3,500.52 × 1,456.48
  4. Step 4: Simplify right side
    2,336.86x = 5,098,437.37
  5. Step 5: Solve for x
    x = 5,098,437.37/2,336.86
  6. Step 6: Final answer
    x = 2,181.75

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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.