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Finding the Fourth Proportional to 3,114.97, 4,297.93 and 1,770.64

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Solution

The fourth proportional to 3,114.97, 4,297.93 and 1,770.64 is: 2,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.97 : 4,297.93 = 1,770.64 : x
  2. Step 2: Convert to fraction form
    3,114.97/4,297.93 = 1,770.64/x
  3. Step 3: Cross multiply
    3,114.97x = 4,297.93 × 1,770.64
  4. Step 4: Simplify right side
    3,114.97x = 7,610,071.60
  5. Step 5: Solve for x
    x = 7,610,071.60/3,114.97
  6. Step 6: Final answer
    x = 2,443.07

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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.