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Finding the Fourth Proportional to 3,277.01, 4,522.36 and 1,784.99

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Solution

The fourth proportional to 3,277.01, 4,522.36 and 1,784.99 is: 2,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.01 : 4,522.36 = 1,784.99 : x
  2. Step 2: Convert to fraction form
    3,277.01/4,522.36 = 1,784.99/x
  3. Step 3: Cross multiply
    3,277.01x = 4,522.36 × 1,784.99
  4. Step 4: Simplify right side
    3,277.01x = 8,072,367.38
  5. Step 5: Solve for x
    x = 8,072,367.38/3,277.01
  6. Step 6: Final answer
    x = 2,463.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.