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Finding the Fourth Proportional to 3,280.38, 4,526.85 and 1,788.32

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Solution

The fourth proportional to 3,280.38, 4,526.85 and 1,788.32 is: 2,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.38 : 4,526.85 = 1,788.32 : x
  2. Step 2: Convert to fraction form
    3,280.38/4,526.85 = 1,788.32/x
  3. Step 3: Cross multiply
    3,280.38x = 4,526.85 × 1,788.32
  4. Step 4: Simplify right side
    3,280.38x = 8,095,456.39
  5. Step 5: Solve for x
    x = 8,095,456.39/3,280.38
  6. Step 6: Final answer
    x = 2,467.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.