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Finding the Fourth Proportional to 3,024.68, 4,536.81 and 803.34

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Solution

The fourth proportional to 3,024.68, 4,536.81 and 803.34 is: 1,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.68 : 4,536.81 = 803.34 : x
  2. Step 2: Convert to fraction form
    3,024.68/4,536.81 = 803.34/x
  3. Step 3: Cross multiply
    3,024.68x = 4,536.81 × 803.34
  4. Step 4: Simplify right side
    3,024.68x = 3,644,600.95
  5. Step 5: Solve for x
    x = 3,644,600.95/3,024.68
  6. Step 6: Final answer
    x = 1,204.96

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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.