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Finding the Fourth Proportional to 3,264.69, 4,503.38 and 2,084.43

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Solution

The fourth proportional to 3,264.69, 4,503.38 and 2,084.43 is: 2,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.69 : 4,503.38 = 2,084.43 : x
  2. Step 2: Convert to fraction form
    3,264.69/4,503.38 = 2,084.43/x
  3. Step 3: Cross multiply
    3,264.69x = 4,503.38 × 2,084.43
  4. Step 4: Simplify right side
    3,264.69x = 9,386,957.86
  5. Step 5: Solve for x
    x = 9,386,957.86/3,264.69
  6. Step 6: Final answer
    x = 2,875.30

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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.