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Finding the Fourth Proportional to 2,609.93, 3,601.56 and 1,490.80

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Solution

The fourth proportional to 2,609.93, 3,601.56 and 1,490.80 is: 2,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.93 : 3,601.56 = 1,490.80 : x
  2. Step 2: Convert to fraction form
    2,609.93/3,601.56 = 1,490.80/x
  3. Step 3: Cross multiply
    2,609.93x = 3,601.56 × 1,490.80
  4. Step 4: Simplify right side
    2,609.93x = 5,369,211.31
  5. Step 5: Solve for x
    x = 5,369,211.31/2,609.93
  6. Step 6: Final answer
    x = 2,057.22

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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.