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Finding the Fourth Proportional to 3,269.06, 4,509.42 and 2,088.80

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Solution

The fourth proportional to 3,269.06, 4,509.42 and 2,088.80 is: 2,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.06 : 4,509.42 = 2,088.80 : x
  2. Step 2: Convert to fraction form
    3,269.06/4,509.42 = 2,088.80/x
  3. Step 3: Cross multiply
    3,269.06x = 4,509.42 × 2,088.80
  4. Step 4: Simplify right side
    3,269.06x = 9,419,276.50
  5. Step 5: Solve for x
    x = 9,419,276.50/3,269.06
  6. Step 6: Final answer
    x = 2,881.34

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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.