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Finding the Fourth Proportional to 2,096.25, 3,144.59 and 557.25

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Solution

The fourth proportional to 2,096.25, 3,144.59 and 557.25 is: 835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.25 : 3,144.59 = 557.25 : x
  2. Step 2: Convert to fraction form
    2,096.25/3,144.59 = 557.25/x
  3. Step 3: Cross multiply
    2,096.25x = 3,144.59 × 557.25
  4. Step 4: Simplify right side
    2,096.25x = 1,752,322.78
  5. Step 5: Solve for x
    x = 1,752,322.78/2,096.25
  6. Step 6: Final answer
    x = 835.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.