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Finding the Fourth Proportional to 2,322.74, 3,203.92 and 1,526.12

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Solution

The fourth proportional to 2,322.74, 3,203.92 and 1,526.12 is: 2,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.74 : 3,203.92 = 1,526.12 : x
  2. Step 2: Convert to fraction form
    2,322.74/3,203.92 = 1,526.12/x
  3. Step 3: Cross multiply
    2,322.74x = 3,203.92 × 1,526.12
  4. Step 4: Simplify right side
    2,322.74x = 4,889,566.39
  5. Step 5: Solve for x
    x = 4,889,566.39/2,322.74
  6. Step 6: Final answer
    x = 2,105.09

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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.