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Finding the Fourth Proportional to 1,522.67, 2,098.18 and 1,050.71

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Solution

The fourth proportional to 1,522.67, 2,098.18 and 1,050.71 is: 1,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.67 : 2,098.18 = 1,050.71 : x
  2. Step 2: Convert to fraction form
    1,522.67/2,098.18 = 1,050.71/x
  3. Step 3: Cross multiply
    1,522.67x = 2,098.18 × 1,050.71
  4. Step 4: Simplify right side
    1,522.67x = 2,204,578.71
  5. Step 5: Solve for x
    x = 2,204,578.71/1,522.67
  6. Step 6: Final answer
    x = 1,447.84

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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.