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Finding the Fourth Proportional to 2,657.80, 3,669.06 and 1,663.63

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Solution

The fourth proportional to 2,657.80, 3,669.06 and 1,663.63 is: 2,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.80 : 3,669.06 = 1,663.63 : x
  2. Step 2: Convert to fraction form
    2,657.80/3,669.06 = 1,663.63/x
  3. Step 3: Cross multiply
    2,657.80x = 3,669.06 × 1,663.63
  4. Step 4: Simplify right side
    2,657.80x = 6,103,958.29
  5. Step 5: Solve for x
    x = 6,103,958.29/2,657.80
  6. Step 6: Final answer
    x = 2,296.62

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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.