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Finding the Fourth Proportional to 3,118.06, 4,677.85 and 926.79

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Solution

The fourth proportional to 3,118.06, 4,677.85 and 926.79 is: 1,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.06 : 4,677.85 = 926.79 : x
  2. Step 2: Convert to fraction form
    3,118.06/4,677.85 = 926.79/x
  3. Step 3: Cross multiply
    3,118.06x = 4,677.85 × 926.79
  4. Step 4: Simplify right side
    3,118.06x = 4,335,364.69
  5. Step 5: Solve for x
    x = 4,335,364.69/3,118.06
  6. Step 6: Final answer
    x = 1,390.41

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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.