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Finding the Fourth Proportional to 3,264.87, 4,897.30 and 1,184.88

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Solution

The fourth proportional to 3,264.87, 4,897.30 and 1,184.88 is: 1,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.87 : 4,897.30 = 1,184.88 : x
  2. Step 2: Convert to fraction form
    3,264.87/4,897.30 = 1,184.88/x
  3. Step 3: Cross multiply
    3,264.87x = 4,897.30 × 1,184.88
  4. Step 4: Simplify right side
    3,264.87x = 5,802,697.05
  5. Step 5: Solve for x
    x = 5,802,697.05/3,264.87
  6. Step 6: Final answer
    x = 1,777.31

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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.