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Finding the Fourth Proportional to 3,141.86, 4,336.30 and 1,816.34

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Solution

The fourth proportional to 3,141.86, 4,336.30 and 1,816.34 is: 2,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.86 : 4,336.30 = 1,816.34 : x
  2. Step 2: Convert to fraction form
    3,141.86/4,336.30 = 1,816.34/x
  3. Step 3: Cross multiply
    3,141.86x = 4,336.30 × 1,816.34
  4. Step 4: Simplify right side
    3,141.86x = 7,876,173.46
  5. Step 5: Solve for x
    x = 7,876,173.46/3,141.86
  6. Step 6: Final answer
    x = 2,506.85

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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.