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Finding the Fourth Proportional to 2,461.70, 3,394.98 and 1,936.82

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Solution

The fourth proportional to 2,461.70, 3,394.98 and 1,936.82 is: 2,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.70 : 3,394.98 = 1,936.82 : x
  2. Step 2: Convert to fraction form
    2,461.70/3,394.98 = 1,936.82/x
  3. Step 3: Cross multiply
    2,461.70x = 3,394.98 × 1,936.82
  4. Step 4: Simplify right side
    2,461.70x = 6,575,465.16
  5. Step 5: Solve for x
    x = 6,575,465.16/2,461.70
  6. Step 6: Final answer
    x = 2,671.11

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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.