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Finding the Fourth Proportional to 2,322.88, 3,202.43 and 1,753.23

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Solution

The fourth proportional to 2,322.88, 3,202.43 and 1,753.23 is: 2,417.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.88 : 3,202.43 = 1,753.23 : x
  2. Step 2: Convert to fraction form
    2,322.88/3,202.43 = 1,753.23/x
  3. Step 3: Cross multiply
    2,322.88x = 3,202.43 × 1,753.23
  4. Step 4: Simplify right side
    2,322.88x = 5,614,599.59
  5. Step 5: Solve for x
    x = 5,614,599.59/2,322.88
  6. Step 6: Final answer
    x = 2,417.09

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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.