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Finding the Fourth Proportional to 2,235.54, 3,353.31 and 1,465.86

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Solution

The fourth proportional to 2,235.54, 3,353.31 and 1,465.86 is: 2,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.54 : 3,353.31 = 1,465.86 : x
  2. Step 2: Convert to fraction form
    2,235.54/3,353.31 = 1,465.86/x
  3. Step 3: Cross multiply
    2,235.54x = 3,353.31 × 1,465.86
  4. Step 4: Simplify right side
    2,235.54x = 4,915,483.00
  5. Step 5: Solve for x
    x = 4,915,483.00/2,235.54
  6. Step 6: Final answer
    x = 2,198.79

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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.