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Finding the Fourth Proportional to 2,609.71, 3,601.46 and 1,430.80

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Solution

The fourth proportional to 2,609.71, 3,601.46 and 1,430.80 is: 1,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.71 : 3,601.46 = 1,430.80 : x
  2. Step 2: Convert to fraction form
    2,609.71/3,601.46 = 1,430.80/x
  3. Step 3: Cross multiply
    2,609.71x = 3,601.46 × 1,430.80
  4. Step 4: Simplify right side
    2,609.71x = 5,152,963.54
  5. Step 5: Solve for x
    x = 5,152,963.54/2,609.71
  6. Step 6: Final answer
    x = 1,974.54

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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.