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Finding the Fourth Proportional to 3,308.62, 4,963.80 and 1,117

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Solution

The fourth proportional to 3,308.62, 4,963.80 and 1,117 is: 1,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.62 : 4,963.80 = 1,117 : x
  2. Step 2: Convert to fraction form
    3,308.62/4,963.80 = 1,117/x
  3. Step 3: Cross multiply
    3,308.62x = 4,963.80 × 1,117
  4. Step 4: Simplify right side
    3,308.62x = 5,544,564.60
  5. Step 5: Solve for x
    x = 5,544,564.60/3,308.62
  6. Step 6: Final answer
    x = 1,675.79

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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.