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Finding the Fourth Proportional to 2,410.92, 3,303.90 and 2,177.64

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Solution

The fourth proportional to 2,410.92, 3,303.90 and 2,177.64 is: 2,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.92 : 3,303.90 = 2,177.64 : x
  2. Step 2: Convert to fraction form
    2,410.92/3,303.90 = 2,177.64/x
  3. Step 3: Cross multiply
    2,410.92x = 3,303.90 × 2,177.64
  4. Step 4: Simplify right side
    2,410.92x = 7,194,704.80
  5. Step 5: Solve for x
    x = 7,194,704.80/2,410.92
  6. Step 6: Final answer
    x = 2,984.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.