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Finding the Fourth Proportional to 3,147.84, 4,342.56 and 1,821.28

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Solution

The fourth proportional to 3,147.84, 4,342.56 and 1,821.28 is: 2,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.84 : 4,342.56 = 1,821.28 : x
  2. Step 2: Convert to fraction form
    3,147.84/4,342.56 = 1,821.28/x
  3. Step 3: Cross multiply
    3,147.84x = 4,342.56 × 1,821.28
  4. Step 4: Simplify right side
    3,147.84x = 7,909,017.68
  5. Step 5: Solve for x
    x = 7,909,017.68/3,147.84
  6. Step 6: Final answer
    x = 2,512.52

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