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Finding the Fourth Proportional to 2,203.84, 3,308.64 and 1,164.64

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Solution

The fourth proportional to 2,203.84, 3,308.64 and 1,164.64 is: 1,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.84 : 3,308.64 = 1,164.64 : x
  2. Step 2: Convert to fraction form
    2,203.84/3,308.64 = 1,164.64/x
  3. Step 3: Cross multiply
    2,203.84x = 3,308.64 × 1,164.64
  4. Step 4: Simplify right side
    2,203.84x = 3,853,374.49
  5. Step 5: Solve for x
    x = 3,853,374.49/2,203.84
  6. Step 6: Final answer
    x = 1,748.48

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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.