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Finding the Fourth Proportional to 2,609.33, 3,913.59 and 760.06

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Solution

The fourth proportional to 2,609.33, 3,913.59 and 760.06 is: 1,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.33 : 3,913.59 = 760.06 : x
  2. Step 2: Convert to fraction form
    2,609.33/3,913.59 = 760.06/x
  3. Step 3: Cross multiply
    2,609.33x = 3,913.59 × 760.06
  4. Step 4: Simplify right side
    2,609.33x = 2,974,563.22
  5. Step 5: Solve for x
    x = 2,974,563.22/2,609.33
  6. Step 6: Final answer
    x = 1,139.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.