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Finding the Fourth Proportional to 2,409.86, 3,614.09 and 1,023.19

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Solution

The fourth proportional to 2,409.86, 3,614.09 and 1,023.19 is: 1,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.86 : 3,614.09 = 1,023.19 : x
  2. Step 2: Convert to fraction form
    2,409.86/3,614.09 = 1,023.19/x
  3. Step 3: Cross multiply
    2,409.86x = 3,614.09 × 1,023.19
  4. Step 4: Simplify right side
    2,409.86x = 3,697,886.60
  5. Step 5: Solve for x
    x = 3,697,886.60/2,409.86
  6. Step 6: Final answer
    x = 1,534.48

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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.