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Finding the Fourth Proportional to 2,645.69, 3,651.13 and 1,466.87

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Solution

The fourth proportional to 2,645.69, 3,651.13 and 1,466.87 is: 2,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.69 : 3,651.13 = 1,466.87 : x
  2. Step 2: Convert to fraction form
    2,645.69/3,651.13 = 1,466.87/x
  3. Step 3: Cross multiply
    2,645.69x = 3,651.13 × 1,466.87
  4. Step 4: Simplify right side
    2,645.69x = 5,355,733.06
  5. Step 5: Solve for x
    x = 5,355,733.06/2,645.69
  6. Step 6: Final answer
    x = 2,024.32

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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.