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Finding the Fourth Proportional to 2,544.57, 3,816.81 and 695.88

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Solution

The fourth proportional to 2,544.57, 3,816.81 and 695.88 is: 1,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.57 : 3,816.81 = 695.88 : x
  2. Step 2: Convert to fraction form
    2,544.57/3,816.81 = 695.88/x
  3. Step 3: Cross multiply
    2,544.57x = 3,816.81 × 695.88
  4. Step 4: Simplify right side
    2,544.57x = 2,656,041.74
  5. Step 5: Solve for x
    x = 2,656,041.74/2,544.57
  6. Step 6: Final answer
    x = 1,043.81

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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.