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Finding the Fourth Proportional to 3,301.53, 4,952.14 and 1,220.64

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Solution

The fourth proportional to 3,301.53, 4,952.14 and 1,220.64 is: 1,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.53 : 4,952.14 = 1,220.64 : x
  2. Step 2: Convert to fraction form
    3,301.53/4,952.14 = 1,220.64/x
  3. Step 3: Cross multiply
    3,301.53x = 4,952.14 × 1,220.64
  4. Step 4: Simplify right side
    3,301.53x = 6,044,780.17
  5. Step 5: Solve for x
    x = 6,044,780.17/3,301.53
  6. Step 6: Final answer
    x = 1,830.90

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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.