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Finding the Fourth Proportional to 1,522.86, 2,098.89 and 1,447.26

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Solution

The fourth proportional to 1,522.86, 2,098.89 and 1,447.26 is: 1,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.86 : 2,098.89 = 1,447.26 : x
  2. Step 2: Convert to fraction form
    1,522.86/2,098.89 = 1,447.26/x
  3. Step 3: Cross multiply
    1,522.86x = 2,098.89 × 1,447.26
  4. Step 4: Simplify right side
    1,522.86x = 3,037,639.54
  5. Step 5: Solve for x
    x = 3,037,639.54/1,522.86
  6. Step 6: Final answer
    x = 1,994.69

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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.