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Finding the Fourth Proportional to 2,648.94, 3,973.43 and 800.07

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Solution

The fourth proportional to 2,648.94, 3,973.43 and 800.07 is: 1,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.94 : 3,973.43 = 800.07 : x
  2. Step 2: Convert to fraction form
    2,648.94/3,973.43 = 800.07/x
  3. Step 3: Cross multiply
    2,648.94x = 3,973.43 × 800.07
  4. Step 4: Simplify right side
    2,648.94x = 3,179,002.27
  5. Step 5: Solve for x
    x = 3,179,002.27/2,648.94
  6. Step 6: Final answer
    x = 1,200.11

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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.