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Finding the Fourth Proportional to 2,649.19, 3,973.82 and 800.32

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Solution

The fourth proportional to 2,649.19, 3,973.82 and 800.32 is: 1,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.19 : 3,973.82 = 800.32 : x
  2. Step 2: Convert to fraction form
    2,649.19/3,973.82 = 800.32/x
  3. Step 3: Cross multiply
    2,649.19x = 3,973.82 × 800.32
  4. Step 4: Simplify right side
    2,649.19x = 3,180,323.62
  5. Step 5: Solve for x
    x = 3,180,323.62/2,649.19
  6. Step 6: Final answer
    x = 1,200.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.