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Finding the Fourth Proportional to 3,302.70, 4,954.70 and 1,222.72

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Solution

The fourth proportional to 3,302.70, 4,954.70 and 1,222.72 is: 1,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.70 : 4,954.70 = 1,222.72 : x
  2. Step 2: Convert to fraction form
    3,302.70/4,954.70 = 1,222.72/x
  3. Step 3: Cross multiply
    3,302.70x = 4,954.70 × 1,222.72
  4. Step 4: Simplify right side
    3,302.70x = 6,058,220.11
  5. Step 5: Solve for x
    x = 6,058,220.11/3,302.70
  6. Step 6: Final answer
    x = 1,834.32

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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.