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Finding the Fourth Proportional to 2,317.13, 3,198.00 and 1,522.76

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Solution

The fourth proportional to 2,317.13, 3,198.00 and 1,522.76 is: 2,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.13 : 3,198.00 = 1,522.76 : x
  2. Step 2: Convert to fraction form
    2,317.13/3,198.00 = 1,522.76/x
  3. Step 3: Cross multiply
    2,317.13x = 3,198.00 × 1,522.76
  4. Step 4: Simplify right side
    2,317.13x = 4,869,776.20
  5. Step 5: Solve for x
    x = 4,869,776.20/2,317.13
  6. Step 6: Final answer
    x = 2,101.64

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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.