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Finding the Fourth Proportional to 2,645.60, 3,650.99 and 1,466.75

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Solution

The fourth proportional to 2,645.60, 3,650.99 and 1,466.75 is: 2,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.60 : 3,650.99 = 1,466.75 : x
  2. Step 2: Convert to fraction form
    2,645.60/3,650.99 = 1,466.75/x
  3. Step 3: Cross multiply
    2,645.60x = 3,650.99 × 1,466.75
  4. Step 4: Simplify right side
    2,645.60x = 5,355,091.38
  5. Step 5: Solve for x
    x = 5,355,091.38/2,645.60
  6. Step 6: Final answer
    x = 2,024.15

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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.