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Finding the Fourth Proportional to 3,159.50, 4,361.02 and 2,114.60

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Solution

The fourth proportional to 3,159.50, 4,361.02 and 2,114.60 is: 2,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.50 : 4,361.02 = 2,114.60 : x
  2. Step 2: Convert to fraction form
    3,159.50/4,361.02 = 2,114.60/x
  3. Step 3: Cross multiply
    3,159.50x = 4,361.02 × 2,114.60
  4. Step 4: Simplify right side
    3,159.50x = 9,221,812.89
  5. Step 5: Solve for x
    x = 9,221,812.89/3,159.50
  6. Step 6: Final answer
    x = 2,918.76

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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.