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Finding the Fourth Proportional to 2,778.81, 4,165.03 and 929.49

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Solution

The fourth proportional to 2,778.81, 4,165.03 and 929.49 is: 1,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.81 : 4,165.03 = 929.49 : x
  2. Step 2: Convert to fraction form
    2,778.81/4,165.03 = 929.49/x
  3. Step 3: Cross multiply
    2,778.81x = 4,165.03 × 929.49
  4. Step 4: Simplify right side
    2,778.81x = 3,871,353.73
  5. Step 5: Solve for x
    x = 3,871,353.73/2,778.81
  6. Step 6: Final answer
    x = 1,393.17

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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.