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Finding the Fourth Proportional to 2,764.52, 3,815.02 and 1,522.52

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Solution

The fourth proportional to 2,764.52, 3,815.02 and 1,522.52 is: 2,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.52 : 3,815.02 = 1,522.52 : x
  2. Step 2: Convert to fraction form
    2,764.52/3,815.02 = 1,522.52/x
  3. Step 3: Cross multiply
    2,764.52x = 3,815.02 × 1,522.52
  4. Step 4: Simplify right side
    2,764.52x = 5,808,444.25
  5. Step 5: Solve for x
    x = 5,808,444.25/2,764.52
  6. Step 6: Final answer
    x = 2,101.07

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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.