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Finding the Fourth Proportional to 2,778.18, 4,166.24 and 928.91

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Solution

The fourth proportional to 2,778.18, 4,166.24 and 928.91 is: 1,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.18 : 4,166.24 = 928.91 : x
  2. Step 2: Convert to fraction form
    2,778.18/4,166.24 = 928.91/x
  3. Step 3: Cross multiply
    2,778.18x = 4,166.24 × 928.91
  4. Step 4: Simplify right side
    2,778.18x = 3,870,036.52
  5. Step 5: Solve for x
    x = 3,870,036.52/2,778.18
  6. Step 6: Final answer
    x = 1,393.01

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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.