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Finding the Fourth Proportional to 2,149.17, 2,946.54 and 2,110.29

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Solution

The fourth proportional to 2,149.17, 2,946.54 and 2,110.29 is: 2,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.17 : 2,946.54 = 2,110.29 : x
  2. Step 2: Convert to fraction form
    2,149.17/2,946.54 = 2,110.29/x
  3. Step 3: Cross multiply
    2,149.17x = 2,946.54 × 2,110.29
  4. Step 4: Simplify right side
    2,149.17x = 6,218,067.86
  5. Step 5: Solve for x
    x = 6,218,067.86/2,149.17
  6. Step 6: Final answer
    x = 2,893.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.