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Finding the Fourth Proportional to 2,661.57, 3,994.18 and 930.19

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Solution

The fourth proportional to 2,661.57, 3,994.18 and 930.19 is: 1,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.57 : 3,994.18 = 930.19 : x
  2. Step 2: Convert to fraction form
    2,661.57/3,994.18 = 930.19/x
  3. Step 3: Cross multiply
    2,661.57x = 3,994.18 × 930.19
  4. Step 4: Simplify right side
    2,661.57x = 3,715,346.29
  5. Step 5: Solve for x
    x = 3,715,346.29/2,661.57
  6. Step 6: Final answer
    x = 1,395.93

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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.