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Finding the Fourth Proportional to 2,071.24, 3,106.99 and 772.27

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Solution

The fourth proportional to 2,071.24, 3,106.99 and 772.27 is: 1,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.24 : 3,106.99 = 772.27 : x
  2. Step 2: Convert to fraction form
    2,071.24/3,106.99 = 772.27/x
  3. Step 3: Cross multiply
    2,071.24x = 3,106.99 × 772.27
  4. Step 4: Simplify right side
    2,071.24x = 2,399,435.17
  5. Step 5: Solve for x
    x = 2,399,435.17/2,071.24
  6. Step 6: Final answer
    x = 1,158.45

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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.