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Finding the Fourth Proportional to 2,609.98, 3,601.76 and 1,431.06

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Solution

The fourth proportional to 2,609.98, 3,601.76 and 1,431.06 is: 1,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.98 : 3,601.76 = 1,431.06 : x
  2. Step 2: Convert to fraction form
    2,609.98/3,601.76 = 1,431.06/x
  3. Step 3: Cross multiply
    2,609.98x = 3,601.76 × 1,431.06
  4. Step 4: Simplify right side
    2,609.98x = 5,154,334.67
  5. Step 5: Solve for x
    x = 5,154,334.67/2,609.98
  6. Step 6: Final answer
    x = 1,974.86

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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.