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Finding the Fourth Proportional to 2,444.77, 3,667.53 and 800.94

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Solution

The fourth proportional to 2,444.77, 3,667.53 and 800.94 is: 1,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.77 : 3,667.53 = 800.94 : x
  2. Step 2: Convert to fraction form
    2,444.77/3,667.53 = 800.94/x
  3. Step 3: Cross multiply
    2,444.77x = 3,667.53 × 800.94
  4. Step 4: Simplify right side
    2,444.77x = 2,937,471.48
  5. Step 5: Solve for x
    x = 2,937,471.48/2,444.77
  6. Step 6: Final answer
    x = 1,201.53

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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.