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Finding the Fourth Proportional to 2,142.42, 2,957.93 and 1,917.96

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Solution

The fourth proportional to 2,142.42, 2,957.93 and 1,917.96 is: 2,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.42 : 2,957.93 = 1,917.96 : x
  2. Step 2: Convert to fraction form
    2,142.42/2,957.93 = 1,917.96/x
  3. Step 3: Cross multiply
    2,142.42x = 2,957.93 × 1,917.96
  4. Step 4: Simplify right side
    2,142.42x = 5,673,181.83
  5. Step 5: Solve for x
    x = 5,673,181.83/2,142.42
  6. Step 6: Final answer
    x = 2,648.03

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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.