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Finding the Fourth Proportional to 2,107.69, 2,908.61 and 1,223.53

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Solution

The fourth proportional to 2,107.69, 2,908.61 and 1,223.53 is: 1,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 2,908.61 = 1,223.53 : x
  2. Step 2: Convert to fraction form
    2,107.69/2,908.61 = 1,223.53/x
  3. Step 3: Cross multiply
    2,107.69x = 2,908.61 × 1,223.53
  4. Step 4: Simplify right side
    2,107.69x = 3,558,760.11
  5. Step 5: Solve for x
    x = 3,558,760.11/2,107.69
  6. Step 6: Final answer
    x = 1,688.47

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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.