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Finding the Fourth Proportional to 2,107.42, 2,908.84 and 1,223.05

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Solution

The fourth proportional to 2,107.42, 2,908.84 and 1,223.05 is: 1,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.42 : 2,908.84 = 1,223.05 : x
  2. Step 2: Convert to fraction form
    2,107.42/2,908.84 = 1,223.05/x
  3. Step 3: Cross multiply
    2,107.42x = 2,908.84 × 1,223.05
  4. Step 4: Simplify right side
    2,107.42x = 3,557,650.74
  5. Step 5: Solve for x
    x = 3,557,650.74/2,107.42
  6. Step 6: Final answer
    x = 1,688.16

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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.