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Finding the Fourth Proportional to 2,407.93, 3,609.36 and 1,022.11

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Solution

The fourth proportional to 2,407.93, 3,609.36 and 1,022.11 is: 1,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.93 : 3,609.36 = 1,022.11 : x
  2. Step 2: Convert to fraction form
    2,407.93/3,609.36 = 1,022.11/x
  3. Step 3: Cross multiply
    2,407.93x = 3,609.36 × 1,022.11
  4. Step 4: Simplify right side
    2,407.93x = 3,689,162.95
  5. Step 5: Solve for x
    x = 3,689,162.95/2,407.93
  6. Step 6: Final answer
    x = 1,532.09

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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.