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Finding the Fourth Proportional to 2,645.04, 3,649.92 and 1,466

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Solution

The fourth proportional to 2,645.04, 3,649.92 and 1,466 is: 2,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.04 : 3,649.92 = 1,466 : x
  2. Step 2: Convert to fraction form
    2,645.04/3,649.92 = 1,466/x
  3. Step 3: Cross multiply
    2,645.04x = 3,649.92 × 1,466
  4. Step 4: Simplify right side
    2,645.04x = 5,350,782.72
  5. Step 5: Solve for x
    x = 5,350,782.72/2,645.04
  6. Step 6: Final answer
    x = 2,022.95

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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.