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Finding the Fourth Proportional to 3,385.50, 4,670.25 and 2,266.49

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Solution

The fourth proportional to 3,385.50, 4,670.25 and 2,266.49 is: 3,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.50 : 4,670.25 = 2,266.49 : x
  2. Step 2: Convert to fraction form
    3,385.50/4,670.25 = 2,266.49/x
  3. Step 3: Cross multiply
    3,385.50x = 4,670.25 × 2,266.49
  4. Step 4: Simplify right side
    3,385.50x = 10,585,051.57
  5. Step 5: Solve for x
    x = 10,585,051.57/3,385.50
  6. Step 6: Final answer
    x = 3,126.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.