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Finding the Fourth Proportional to 3,141.76, 4,336.19 and 2,349.06

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Solution

The fourth proportional to 3,141.76, 4,336.19 and 2,349.06 is: 3,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.76 : 4,336.19 = 2,349.06 : x
  2. Step 2: Convert to fraction form
    3,141.76/4,336.19 = 2,349.06/x
  3. Step 3: Cross multiply
    3,141.76x = 4,336.19 × 2,349.06
  4. Step 4: Simplify right side
    3,141.76x = 10,185,958.74
  5. Step 5: Solve for x
    x = 10,185,958.74/3,141.76
  6. Step 6: Final answer
    x = 3,242.12

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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.