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Finding the Fourth Proportional to 1,522.78, 2,282.75 and 701.71

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Solution

The fourth proportional to 1,522.78, 2,282.75 and 701.71 is: 1,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.78 : 2,282.75 = 701.71 : x
  2. Step 2: Convert to fraction form
    1,522.78/2,282.75 = 701.71/x
  3. Step 3: Cross multiply
    1,522.78x = 2,282.75 × 701.71
  4. Step 4: Simplify right side
    1,522.78x = 1,601,813.58
  5. Step 5: Solve for x
    x = 1,601,813.58/1,522.78
  6. Step 6: Final answer
    x = 1,051.90

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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.