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Finding the Fourth Proportional to 2,645.87, 3,651.13 and 1,466.86

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Solution

The fourth proportional to 2,645.87, 3,651.13 and 1,466.86 is: 2,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.87 : 3,651.13 = 1,466.86 : x
  2. Step 2: Convert to fraction form
    2,645.87/3,651.13 = 1,466.86/x
  3. Step 3: Cross multiply
    2,645.87x = 3,651.13 × 1,466.86
  4. Step 4: Simplify right side
    2,645.87x = 5,355,687.85
  5. Step 5: Solve for x
    x = 5,355,687.85/2,645.87
  6. Step 6: Final answer
    x = 2,024.17

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1.5x scale

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.