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Finding the Fourth Proportional to 3,305.84, 4,954.97 and 1,355.63

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Solution

The fourth proportional to 3,305.84, 4,954.97 and 1,355.63 is: 2,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.84 : 4,954.97 = 1,355.63 : x
  2. Step 2: Convert to fraction form
    3,305.84/4,954.97 = 1,355.63/x
  3. Step 3: Cross multiply
    3,305.84x = 4,954.97 × 1,355.63
  4. Step 4: Simplify right side
    3,305.84x = 6,717,084.60
  5. Step 5: Solve for x
    x = 6,717,084.60/3,305.84
  6. Step 6: Final answer
    x = 2,031.89

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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.