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Finding the Fourth Proportional to 2,107.84, 3,160.24 and 1,011.36

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Solution

The fourth proportional to 2,107.84, 3,160.24 and 1,011.36 is: 1,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.84 : 3,160.24 = 1,011.36 : x
  2. Step 2: Convert to fraction form
    2,107.84/3,160.24 = 1,011.36/x
  3. Step 3: Cross multiply
    2,107.84x = 3,160.24 × 1,011.36
  4. Step 4: Simplify right side
    2,107.84x = 3,196,140.33
  5. Step 5: Solve for x
    x = 3,196,140.33/2,107.84
  6. Step 6: Final answer
    x = 1,516.31

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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.