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Finding the Fourth Proportional to 1,522.28, 2,282.00 and 701.21

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Solution

The fourth proportional to 1,522.28, 2,282.00 and 701.21 is: 1,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.28 : 2,282.00 = 701.21 : x
  2. Step 2: Convert to fraction form
    1,522.28/2,282.00 = 701.21/x
  3. Step 3: Cross multiply
    1,522.28x = 2,282.00 × 701.21
  4. Step 4: Simplify right side
    1,522.28x = 1,600,146.30
  5. Step 5: Solve for x
    x = 1,600,146.30/1,522.28
  6. Step 6: Final answer
    x = 1,051.15

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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.