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Finding the Fourth Proportional to 2,281.41, 3,420.18 and 965.10

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Solution

The fourth proportional to 2,281.41, 3,420.18 and 965.10 is: 1,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.41 : 3,420.18 = 965.10 : x
  2. Step 2: Convert to fraction form
    2,281.41/3,420.18 = 965.10/x
  3. Step 3: Cross multiply
    2,281.41x = 3,420.18 × 965.10
  4. Step 4: Simplify right side
    2,281.41x = 3,300,815.72
  5. Step 5: Solve for x
    x = 3,300,815.72/2,281.41
  6. Step 6: Final answer
    x = 1,446.83

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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.