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Finding the Fourth Proportional to 2,778.63, 4,166.46 and 929.13

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Solution

The fourth proportional to 2,778.63, 4,166.46 and 929.13 is: 1,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.63 : 4,166.46 = 929.13 : x
  2. Step 2: Convert to fraction form
    2,778.63/4,166.46 = 929.13/x
  3. Step 3: Cross multiply
    2,778.63x = 4,166.46 × 929.13
  4. Step 4: Simplify right side
    2,778.63x = 3,871,199.26
  5. Step 5: Solve for x
    x = 3,871,199.26/2,778.63
  6. Step 6: Final answer
    x = 1,393.20

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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.