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Finding the Fourth Proportional to 1,522.08, 2,104.56 and 1,452

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Solution

The fourth proportional to 1,522.08, 2,104.56 and 1,452 is: 2,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.08 : 2,104.56 = 1,452 : x
  2. Step 2: Convert to fraction form
    1,522.08/2,104.56 = 1,452/x
  3. Step 3: Cross multiply
    1,522.08x = 2,104.56 × 1,452
  4. Step 4: Simplify right side
    1,522.08x = 3,055,821.12
  5. Step 5: Solve for x
    x = 3,055,821.12/1,522.08
  6. Step 6: Final answer
    x = 2,007.66

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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.