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Finding the Fourth Proportional to 2,015.16, 3,022.68 and 716.28

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Solution

The fourth proportional to 2,015.16, 3,022.68 and 716.28 is: 1,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.16 : 3,022.68 = 716.28 : x
  2. Step 2: Convert to fraction form
    2,015.16/3,022.68 = 716.28/x
  3. Step 3: Cross multiply
    2,015.16x = 3,022.68 × 716.28
  4. Step 4: Simplify right side
    2,015.16x = 2,165,085.23
  5. Step 5: Solve for x
    x = 2,165,085.23/2,015.16
  6. Step 6: Final answer
    x = 1,074.40

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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.