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Finding the Fourth Proportional to 3,264.29, 4,894.92 and 1,184.03

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Solution

The fourth proportional to 3,264.29, 4,894.92 and 1,184.03 is: 1,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.29 : 4,894.92 = 1,184.03 : x
  2. Step 2: Convert to fraction form
    3,264.29/4,894.92 = 1,184.03/x
  3. Step 3: Cross multiply
    3,264.29x = 4,894.92 × 1,184.03
  4. Step 4: Simplify right side
    3,264.29x = 5,795,744.36
  5. Step 5: Solve for x
    x = 5,795,744.36/3,264.29
  6. Step 6: Final answer
    x = 1,775.50

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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.