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Finding the Fourth Proportional to 3,301.84, 4,952.76 and 1,354.96

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Solution

The fourth proportional to 3,301.84, 4,952.76 and 1,354.96 is: 2,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.84 : 4,952.76 = 1,354.96 : x
  2. Step 2: Convert to fraction form
    3,301.84/4,952.76 = 1,354.96/x
  3. Step 3: Cross multiply
    3,301.84x = 4,952.76 × 1,354.96
  4. Step 4: Simplify right side
    3,301.84x = 6,710,791.69
  5. Step 5: Solve for x
    x = 6,710,791.69/3,301.84
  6. Step 6: Final answer
    x = 2,032.44

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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.