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Finding the Fourth Proportional to 2,594.84, 3,578.99 and 1,649.77

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Solution

The fourth proportional to 2,594.84, 3,578.99 and 1,649.77 is: 2,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.84 : 3,578.99 = 1,649.77 : x
  2. Step 2: Convert to fraction form
    2,594.84/3,578.99 = 1,649.77/x
  3. Step 3: Cross multiply
    2,594.84x = 3,578.99 × 1,649.77
  4. Step 4: Simplify right side
    2,594.84x = 5,904,493.14
  5. Step 5: Solve for x
    x = 5,904,493.14/2,594.84
  6. Step 6: Final answer
    x = 2,275.48

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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.