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Finding the Fourth Proportional to 2,069.37, 2,854.71 and 1,921.14

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Solution

The fourth proportional to 2,069.37, 2,854.71 and 1,921.14 is: 2,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.37 : 2,854.71 = 1,921.14 : x
  2. Step 2: Convert to fraction form
    2,069.37/2,854.71 = 1,921.14/x
  3. Step 3: Cross multiply
    2,069.37x = 2,854.71 × 1,921.14
  4. Step 4: Simplify right side
    2,069.37x = 5,484,297.57
  5. Step 5: Solve for x
    x = 5,484,297.57/2,069.37
  6. Step 6: Final answer
    x = 2,650.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.