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Finding the Fourth Proportional to 3,260.80, 4,500 and 2,002.08

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Solution

The fourth proportional to 3,260.80, 4,500 and 2,002.08 is: 2,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.80 : 4,500 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    3,260.80/4,500 = 2,002.08/x
  3. Step 3: Cross multiply
    3,260.80x = 4,500 × 2,002.08
  4. Step 4: Simplify right side
    3,260.80x = 9,009,360
  5. Step 5: Solve for x
    x = 9,009,360/3,260.80
  6. Step 6: Final answer
    x = 2,762.93

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