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Finding the Fourth Proportional to 3,301.54, 4,952.06 and 1,220.57

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Solution

The fourth proportional to 3,301.54, 4,952.06 and 1,220.57 is: 1,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.54 : 4,952.06 = 1,220.57 : x
  2. Step 2: Convert to fraction form
    3,301.54/4,952.06 = 1,220.57/x
  3. Step 3: Cross multiply
    3,301.54x = 4,952.06 × 1,220.57
  4. Step 4: Simplify right side
    3,301.54x = 6,044,334.35
  5. Step 5: Solve for x
    x = 6,044,334.35/3,301.54
  6. Step 6: Final answer
    x = 1,830.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.