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Finding the Fourth Proportional to 2,441.22, 3,368.90 and 1,447

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Solution

The fourth proportional to 2,441.22, 3,368.90 and 1,447 is: 1,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.22 : 3,368.90 = 1,447 : x
  2. Step 2: Convert to fraction form
    2,441.22/3,368.90 = 1,447/x
  3. Step 3: Cross multiply
    2,441.22x = 3,368.90 × 1,447
  4. Step 4: Simplify right side
    2,441.22x = 4,874,798.30
  5. Step 5: Solve for x
    x = 4,874,798.30/2,441.22
  6. Step 6: Final answer
    x = 1,996.87

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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.