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Finding the Fourth Proportional to 2,359.74, 3,557.40 and 2,201.22

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Solution

The fourth proportional to 2,359.74, 3,557.40 and 2,201.22 is: 3,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.74 : 3,557.40 = 2,201.22 : x
  2. Step 2: Convert to fraction form
    2,359.74/3,557.40 = 2,201.22/x
  3. Step 3: Cross multiply
    2,359.74x = 3,557.40 × 2,201.22
  4. Step 4: Simplify right side
    2,359.74x = 7,830,620.03
  5. Step 5: Solve for x
    x = 7,830,620.03/2,359.74
  6. Step 6: Final answer
    x = 3,318.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.