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Finding the Fourth Proportional to 2,778.71, 4,167.66 and 929.93

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Solution

The fourth proportional to 2,778.71, 4,167.66 and 929.93 is: 1,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.71 : 4,167.66 = 929.93 : x
  2. Step 2: Convert to fraction form
    2,778.71/4,167.66 = 929.93/x
  3. Step 3: Cross multiply
    2,778.71x = 4,167.66 × 929.93
  4. Step 4: Simplify right side
    2,778.71x = 3,875,632.06
  5. Step 5: Solve for x
    x = 3,875,632.06/2,778.71
  6. Step 6: Final answer
    x = 1,394.76

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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.