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Finding the Fourth Proportional to 4,617.54, 6,926.31 and 1,154.79

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Solution

The fourth proportional to 4,617.54, 6,926.31 and 1,154.79 is: 1,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.54 : 6,926.31 = 1,154.79 : x
  2. Step 2: Convert to fraction form
    4,617.54/6,926.31 = 1,154.79/x
  3. Step 3: Cross multiply
    4,617.54x = 6,926.31 × 1,154.79
  4. Step 4: Simplify right side
    4,617.54x = 7,998,433.52
  5. Step 5: Solve for x
    x = 7,998,433.52/4,617.54
  6. Step 6: Final answer
    x = 1,732.19

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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.