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Finding the Fourth Proportional to 2,201.76, 3,303 and 1,106.64

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Solution

The fourth proportional to 2,201.76, 3,303 and 1,106.64 is: 1,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.76 : 3,303 = 1,106.64 : x
  2. Step 2: Convert to fraction form
    2,201.76/3,303 = 1,106.64/x
  3. Step 3: Cross multiply
    2,201.76x = 3,303 × 1,106.64
  4. Step 4: Simplify right side
    2,201.76x = 3,655,231.92
  5. Step 5: Solve for x
    x = 3,655,231.92/2,201.76
  6. Step 6: Final answer
    x = 1,660.14

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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.