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Finding the Fourth Proportional to 2,374.62, 3,273.80 and 1,665.51

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Solution

The fourth proportional to 2,374.62, 3,273.80 and 1,665.51 is: 2,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.62 : 3,273.80 = 1,665.51 : x
  2. Step 2: Convert to fraction form
    2,374.62/3,273.80 = 1,665.51/x
  3. Step 3: Cross multiply
    2,374.62x = 3,273.80 × 1,665.51
  4. Step 4: Simplify right side
    2,374.62x = 5,452,538.31
  5. Step 5: Solve for x
    x = 5,452,538.31/2,374.62
  6. Step 6: Final answer
    x = 2,296.17

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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.