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Finding the Fourth Proportional to 2,637.69, 3,640.09 and 1,442.74

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Solution

The fourth proportional to 2,637.69, 3,640.09 and 1,442.74 is: 1,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.69 : 3,640.09 = 1,442.74 : x
  2. Step 2: Convert to fraction form
    2,637.69/3,640.09 = 1,442.74/x
  3. Step 3: Cross multiply
    2,637.69x = 3,640.09 × 1,442.74
  4. Step 4: Simplify right side
    2,637.69x = 5,251,703.45
  5. Step 5: Solve for x
    x = 5,251,703.45/2,637.69
  6. Step 6: Final answer
    x = 1,991.02

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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.