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Finding the Fourth Proportional to 2,107.94, 2,909.49 and 1,223.63

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Solution

The fourth proportional to 2,107.94, 2,909.49 and 1,223.63 is: 1,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.94 : 2,909.49 = 1,223.63 : x
  2. Step 2: Convert to fraction form
    2,107.94/2,909.49 = 1,223.63/x
  3. Step 3: Cross multiply
    2,107.94x = 2,909.49 × 1,223.63
  4. Step 4: Simplify right side
    2,107.94x = 3,560,139.25
  5. Step 5: Solve for x
    x = 3,560,139.25/2,107.94
  6. Step 6: Final answer
    x = 1,688.92

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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.