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Finding the Fourth Proportional to 2,322.80, 3,484.20 and 2,049.20

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Solution

The fourth proportional to 2,322.80, 3,484.20 and 2,049.20 is: 3,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.80 : 3,484.20 = 2,049.20 : x
  2. Step 2: Convert to fraction form
    2,322.80/3,484.20 = 2,049.20/x
  3. Step 3: Cross multiply
    2,322.80x = 3,484.20 × 2,049.20
  4. Step 4: Simplify right side
    2,322.80x = 7,139,822.64
  5. Step 5: Solve for x
    x = 7,139,822.64/2,322.80
  6. Step 6: Final answer
    x = 3,073.80

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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.