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Finding the Fourth Proportional to 3,262.83, 4,891.03 and 2,089.50

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Solution

The fourth proportional to 3,262.83, 4,891.03 and 2,089.50 is: 3,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.83 : 4,891.03 = 2,089.50 : x
  2. Step 2: Convert to fraction form
    3,262.83/4,891.03 = 2,089.50/x
  3. Step 3: Cross multiply
    3,262.83x = 4,891.03 × 2,089.50
  4. Step 4: Simplify right side
    3,262.83x = 10,219,807.19
  5. Step 5: Solve for x
    x = 10,219,807.19/3,262.83
  6. Step 6: Final answer
    x = 3,132.19

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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.