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Finding the Fourth Proportional to 2,901.87, 4,352.94 and 822.03

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Solution

The fourth proportional to 2,901.87, 4,352.94 and 822.03 is: 1,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.87 : 4,352.94 = 822.03 : x
  2. Step 2: Convert to fraction form
    2,901.87/4,352.94 = 822.03/x
  3. Step 3: Cross multiply
    2,901.87x = 4,352.94 × 822.03
  4. Step 4: Simplify right side
    2,901.87x = 3,578,247.27
  5. Step 5: Solve for x
    x = 3,578,247.27/2,901.87
  6. Step 6: Final answer
    x = 1,233.08

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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.