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Finding the Fourth Proportional to 2,466.72, 3,696.44 and 2,284.47

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Solution

The fourth proportional to 2,466.72, 3,696.44 and 2,284.47 is: 3,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.72 : 3,696.44 = 2,284.47 : x
  2. Step 2: Convert to fraction form
    2,466.72/3,696.44 = 2,284.47/x
  3. Step 3: Cross multiply
    2,466.72x = 3,696.44 × 2,284.47
  4. Step 4: Simplify right side
    2,466.72x = 8,444,394.86
  5. Step 5: Solve for x
    x = 8,444,394.86/2,466.72
  6. Step 6: Final answer
    x = 3,423.33

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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.