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Finding the Fourth Proportional to 2,644.64, 3,970.56 and 1,347.04

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Solution

The fourth proportional to 2,644.64, 3,970.56 and 1,347.04 is: 2,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.64 : 3,970.56 = 1,347.04 : x
  2. Step 2: Convert to fraction form
    2,644.64/3,970.56 = 1,347.04/x
  3. Step 3: Cross multiply
    2,644.64x = 3,970.56 × 1,347.04
  4. Step 4: Simplify right side
    2,644.64x = 5,348,503.14
  5. Step 5: Solve for x
    x = 5,348,503.14/2,644.64
  6. Step 6: Final answer
    x = 2,022.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.