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Finding the Fourth Proportional to 2,409.50, 3,609.38 and 1,916.69

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Solution

The fourth proportional to 2,409.50, 3,609.38 and 1,916.69 is: 2,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.50 : 3,609.38 = 1,916.69 : x
  2. Step 2: Convert to fraction form
    2,409.50/3,609.38 = 1,916.69/x
  3. Step 3: Cross multiply
    2,409.50x = 3,609.38 × 1,916.69
  4. Step 4: Simplify right side
    2,409.50x = 6,918,034.92
  5. Step 5: Solve for x
    x = 6,918,034.92/2,409.50
  6. Step 6: Final answer
    x = 2,871.16

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Why These Related Problems?

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