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Finding the Fourth Proportional to 1,949.27, 2,921.55 and 1,431.47

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Solution

The fourth proportional to 1,949.27, 2,921.55 and 1,431.47 is: 2,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.27 : 2,921.55 = 1,431.47 : x
  2. Step 2: Convert to fraction form
    1,949.27/2,921.55 = 1,431.47/x
  3. Step 3: Cross multiply
    1,949.27x = 2,921.55 × 1,431.47
  4. Step 4: Simplify right side
    1,949.27x = 4,182,111.18
  5. Step 5: Solve for x
    x = 4,182,111.18/1,949.27
  6. Step 6: Final answer
    x = 2,145.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.