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Finding the Fourth Proportional to 2,778.15, 4,167.05 and 929.10

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Solution

The fourth proportional to 2,778.15, 4,167.05 and 929.10 is: 1,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.15 : 4,167.05 = 929.10 : x
  2. Step 2: Convert to fraction form
    2,778.15/4,167.05 = 929.10/x
  3. Step 3: Cross multiply
    2,778.15x = 4,167.05 × 929.10
  4. Step 4: Simplify right side
    2,778.15x = 3,871,601.51
  5. Step 5: Solve for x
    x = 3,871,601.51/2,778.15
  6. Step 6: Final answer
    x = 1,393.59

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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.