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Finding the Fourth Proportional to 2,303.70, 3,179.81 and 2,186.16

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Solution

The fourth proportional to 2,303.70, 3,179.81 and 2,186.16 is: 3,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.70 : 3,179.81 = 2,186.16 : x
  2. Step 2: Convert to fraction form
    2,303.70/3,179.81 = 2,186.16/x
  3. Step 3: Cross multiply
    2,303.70x = 3,179.81 × 2,186.16
  4. Step 4: Simplify right side
    2,303.70x = 6,951,562.50
  5. Step 5: Solve for x
    x = 6,951,562.50/2,303.70
  6. Step 6: Final answer
    x = 3,017.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.