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Finding the Fourth Proportional to 2,565.79, 3,849.90 and 1,107.79

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Solution

The fourth proportional to 2,565.79, 3,849.90 and 1,107.79 is: 1,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.79 : 3,849.90 = 1,107.79 : x
  2. Step 2: Convert to fraction form
    2,565.79/3,849.90 = 1,107.79/x
  3. Step 3: Cross multiply
    2,565.79x = 3,849.90 × 1,107.79
  4. Step 4: Simplify right side
    2,565.79x = 4,264,880.72
  5. Step 5: Solve for x
    x = 4,264,880.72/2,565.79
  6. Step 6: Final answer
    x = 1,662.21

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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.