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Finding the Fourth Proportional to 2,409.96, 3,615.11 and 1,023.14

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Solution

The fourth proportional to 2,409.96, 3,615.11 and 1,023.14 is: 1,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.96 : 3,615.11 = 1,023.14 : x
  2. Step 2: Convert to fraction form
    2,409.96/3,615.11 = 1,023.14/x
  3. Step 3: Cross multiply
    2,409.96x = 3,615.11 × 1,023.14
  4. Step 4: Simplify right side
    2,409.96x = 3,698,763.65
  5. Step 5: Solve for x
    x = 3,698,763.65/2,409.96
  6. Step 6: Final answer
    x = 1,534.78

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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.