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Finding the Fourth Proportional to 2,407.59, 3,609.23 and 846.65

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Solution

The fourth proportional to 2,407.59, 3,609.23 and 846.65 is: 1,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.59 : 3,609.23 = 846.65 : x
  2. Step 2: Convert to fraction form
    2,407.59/3,609.23 = 846.65/x
  3. Step 3: Cross multiply
    2,407.59x = 3,609.23 × 846.65
  4. Step 4: Simplify right side
    2,407.59x = 3,055,759.37
  5. Step 5: Solve for x
    x = 3,055,759.37/2,407.59
  6. Step 6: Final answer
    x = 1,269.22

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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.