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Finding the Fourth Proportional to 2,635.67, 3,637.23 and 1,456.74

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Solution

The fourth proportional to 2,635.67, 3,637.23 and 1,456.74 is: 2,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.67 : 3,637.23 = 1,456.74 : x
  2. Step 2: Convert to fraction form
    2,635.67/3,637.23 = 1,456.74/x
  3. Step 3: Cross multiply
    2,635.67x = 3,637.23 × 1,456.74
  4. Step 4: Simplify right side
    2,635.67x = 5,298,490.25
  5. Step 5: Solve for x
    x = 5,298,490.25/2,635.67
  6. Step 6: Final answer
    x = 2,010.30

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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.