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Finding the Fourth Proportional to 3,118.40, 4,677.72 and 927.16

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Solution

The fourth proportional to 3,118.40, 4,677.72 and 927.16 is: 1,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.40 : 4,677.72 = 927.16 : x
  2. Step 2: Convert to fraction form
    3,118.40/4,677.72 = 927.16/x
  3. Step 3: Cross multiply
    3,118.40x = 4,677.72 × 927.16
  4. Step 4: Simplify right side
    3,118.40x = 4,336,994.88
  5. Step 5: Solve for x
    x = 4,336,994.88/3,118.40
  6. Step 6: Final answer
    x = 1,390.78

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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.