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Finding the Fourth Proportional to 3,369.84, 5,053.34 and 1,614.58

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Solution

The fourth proportional to 3,369.84, 5,053.34 and 1,614.58 is: 2,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.84 : 5,053.34 = 1,614.58 : x
  2. Step 2: Convert to fraction form
    3,369.84/5,053.34 = 1,614.58/x
  3. Step 3: Cross multiply
    3,369.84x = 5,053.34 × 1,614.58
  4. Step 4: Simplify right side
    3,369.84x = 8,159,021.70
  5. Step 5: Solve for x
    x = 8,159,021.70/3,369.84
  6. Step 6: Final answer
    x = 2,421.19

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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.