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Finding the Fourth Proportional to 2,778.76, 4,166.68 and 929.20

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Solution

The fourth proportional to 2,778.76, 4,166.68 and 929.20 is: 1,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.76 : 4,166.68 = 929.20 : x
  2. Step 2: Convert to fraction form
    2,778.76/4,166.68 = 929.20/x
  3. Step 3: Cross multiply
    2,778.76x = 4,166.68 × 929.20
  4. Step 4: Simplify right side
    2,778.76x = 3,871,679.06
  5. Step 5: Solve for x
    x = 3,871,679.06/2,778.76
  6. Step 6: Final answer
    x = 1,393.31

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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.