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Finding the Fourth Proportional to 2,246.44, 3,098.82 and 1,417

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Solution

The fourth proportional to 2,246.44, 3,098.82 and 1,417 is: 1,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.44 : 3,098.82 = 1,417 : x
  2. Step 2: Convert to fraction form
    2,246.44/3,098.82 = 1,417/x
  3. Step 3: Cross multiply
    2,246.44x = 3,098.82 × 1,417
  4. Step 4: Simplify right side
    2,246.44x = 4,391,027.94
  5. Step 5: Solve for x
    x = 4,391,027.94/2,246.44
  6. Step 6: Final answer
    x = 1,954.66

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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.