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Finding the Fourth Proportional to 4,654.71, 6,981.66 and 1,367.64

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Solution

The fourth proportional to 4,654.71, 6,981.66 and 1,367.64 is: 2,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.71 : 6,981.66 = 1,367.64 : x
  2. Step 2: Convert to fraction form
    4,654.71/6,981.66 = 1,367.64/x
  3. Step 3: Cross multiply
    4,654.71x = 6,981.66 × 1,367.64
  4. Step 4: Simplify right side
    4,654.71x = 9,548,397.48
  5. Step 5: Solve for x
    x = 9,548,397.48/4,654.71
  6. Step 6: Final answer
    x = 2,051.34

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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.