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Finding the Fourth Proportional to 2,649.03, 3,973.57 and 800.16

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Solution

The fourth proportional to 2,649.03, 3,973.57 and 800.16 is: 1,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.03 : 3,973.57 = 800.16 : x
  2. Step 2: Convert to fraction form
    2,649.03/3,973.57 = 800.16/x
  3. Step 3: Cross multiply
    2,649.03x = 3,973.57 × 800.16
  4. Step 4: Simplify right side
    2,649.03x = 3,179,491.77
  5. Step 5: Solve for x
    x = 3,179,491.77/2,649.03
  6. Step 6: Final answer
    x = 1,200.25

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