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Finding the Fourth Proportional to 2,131.86, 2,946.42 and 1,634.52

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Solution

The fourth proportional to 2,131.86, 2,946.42 and 1,634.52 is: 2,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.86 : 2,946.42 = 1,634.52 : x
  2. Step 2: Convert to fraction form
    2,131.86/2,946.42 = 1,634.52/x
  3. Step 3: Cross multiply
    2,131.86x = 2,946.42 × 1,634.52
  4. Step 4: Simplify right side
    2,131.86x = 4,815,982.42
  5. Step 5: Solve for x
    x = 4,815,982.42/2,131.86
  6. Step 6: Final answer
    x = 2,259.05

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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.