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Finding the Fourth Proportional to 2,206.64, 3,309.96 and 1,048.88

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Solution

The fourth proportional to 2,206.64, 3,309.96 and 1,048.88 is: 1,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.64 : 3,309.96 = 1,048.88 : x
  2. Step 2: Convert to fraction form
    2,206.64/3,309.96 = 1,048.88/x
  3. Step 3: Cross multiply
    2,206.64x = 3,309.96 × 1,048.88
  4. Step 4: Simplify right side
    2,206.64x = 3,471,750.84
  5. Step 5: Solve for x
    x = 3,471,750.84/2,206.64
  6. Step 6: Final answer
    x = 1,573.32

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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.