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Finding the Fourth Proportional to 2,065.28, 3,095.16 and 1,140.80

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Solution

The fourth proportional to 2,065.28, 3,095.16 and 1,140.80 is: 1,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.28 : 3,095.16 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    2,065.28/3,095.16 = 1,140.80/x
  3. Step 3: Cross multiply
    2,065.28x = 3,095.16 × 1,140.80
  4. Step 4: Simplify right side
    2,065.28x = 3,530,958.53
  5. Step 5: Solve for x
    x = 3,530,958.53/2,065.28
  6. Step 6: Final answer
    x = 1,709.68

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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.