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Finding the Fourth Proportional to 3,398.22, 4,688.64 and 1,962.22

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Solution

The fourth proportional to 3,398.22, 4,688.64 and 1,962.22 is: 2,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.22 : 4,688.64 = 1,962.22 : x
  2. Step 2: Convert to fraction form
    3,398.22/4,688.64 = 1,962.22/x
  3. Step 3: Cross multiply
    3,398.22x = 4,688.64 × 1,962.22
  4. Step 4: Simplify right side
    3,398.22x = 9,200,143.18
  5. Step 5: Solve for x
    x = 9,200,143.18/3,398.22
  6. Step 6: Final answer
    x = 2,707.34

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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.