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Finding the Fourth Proportional to 3,341.34, 4,611.38 and 1,944

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Solution

The fourth proportional to 3,341.34, 4,611.38 and 1,944 is: 2,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.34 : 4,611.38 = 1,944 : x
  2. Step 2: Convert to fraction form
    3,341.34/4,611.38 = 1,944/x
  3. Step 3: Cross multiply
    3,341.34x = 4,611.38 × 1,944
  4. Step 4: Simplify right side
    3,341.34x = 8,964,513
  5. Step 5: Solve for x
    x = 8,964,513/3,341.34
  6. Step 6: Final answer
    x = 2,682.91

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Why These Related Problems?

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