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Finding the Fourth Proportional to 2,108.16, 2,910.24 and 1,223.64

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Solution

The fourth proportional to 2,108.16, 2,910.24 and 1,223.64 is: 1,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.16 : 2,910.24 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    2,108.16/2,910.24 = 1,223.64/x
  3. Step 3: Cross multiply
    2,108.16x = 2,910.24 × 1,223.64
  4. Step 4: Simplify right side
    2,108.16x = 3,561,086.07
  5. Step 5: Solve for x
    x = 3,561,086.07/2,108.16
  6. Step 6: Final answer
    x = 1,689.19

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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.