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Finding the Fourth Proportional to 2,710.21, 4,065.42 and 861.28

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Solution

The fourth proportional to 2,710.21, 4,065.42 and 861.28 is: 1,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.21 : 4,065.42 = 861.28 : x
  2. Step 2: Convert to fraction form
    2,710.21/4,065.42 = 861.28/x
  3. Step 3: Cross multiply
    2,710.21x = 4,065.42 × 861.28
  4. Step 4: Simplify right side
    2,710.21x = 3,501,464.94
  5. Step 5: Solve for x
    x = 3,501,464.94/2,710.21
  6. Step 6: Final answer
    x = 1,291.95

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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.