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Finding the Fourth Proportional to 3,361.55, 4,637.66 and 2,166.40

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Solution

The fourth proportional to 3,361.55, 4,637.66 and 2,166.40 is: 2,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.55 : 4,637.66 = 2,166.40 : x
  2. Step 2: Convert to fraction form
    3,361.55/4,637.66 = 2,166.40/x
  3. Step 3: Cross multiply
    3,361.55x = 4,637.66 × 2,166.40
  4. Step 4: Simplify right side
    3,361.55x = 10,046,995.50
  5. Step 5: Solve for x
    x = 10,046,995.50/3,361.55
  6. Step 6: Final answer
    x = 2,988.80

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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.