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Finding the Fourth Proportional to 3,064.41, 4,230.39 and 2,269.80

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Solution

The fourth proportional to 3,064.41, 4,230.39 and 2,269.80 is: 3,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.41 : 4,230.39 = 2,269.80 : x
  2. Step 2: Convert to fraction form
    3,064.41/4,230.39 = 2,269.80/x
  3. Step 3: Cross multiply
    3,064.41x = 4,230.39 × 2,269.80
  4. Step 4: Simplify right side
    3,064.41x = 9,602,139.22
  5. Step 5: Solve for x
    x = 9,602,139.22/3,064.41
  6. Step 6: Final answer
    x = 3,133.44

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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.