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Finding the Fourth Proportional to 2,648.94, 3,973.56 and 800.32

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Solution

The fourth proportional to 2,648.94, 3,973.56 and 800.32 is: 1,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.94 : 3,973.56 = 800.32 : x
  2. Step 2: Convert to fraction form
    2,648.94/3,973.56 = 800.32/x
  3. Step 3: Cross multiply
    2,648.94x = 3,973.56 × 800.32
  4. Step 4: Simplify right side
    2,648.94x = 3,180,119.54
  5. Step 5: Solve for x
    x = 3,180,119.54/2,648.94
  6. Step 6: Final answer
    x = 1,200.53

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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.