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Finding the Fourth Proportional to 2,811.60, 4,218.48 and 1,351.98

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Solution

The fourth proportional to 2,811.60, 4,218.48 and 1,351.98 is: 2,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.60 : 4,218.48 = 1,351.98 : x
  2. Step 2: Convert to fraction form
    2,811.60/4,218.48 = 1,351.98/x
  3. Step 3: Cross multiply
    2,811.60x = 4,218.48 × 1,351.98
  4. Step 4: Simplify right side
    2,811.60x = 5,703,300.59
  5. Step 5: Solve for x
    x = 5,703,300.59/2,811.60
  6. Step 6: Final answer
    x = 2,028.49

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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.