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Finding the Fourth Proportional to 2,107.54, 3,159.69 and 1,134.19

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Solution

The fourth proportional to 2,107.54, 3,159.69 and 1,134.19 is: 1,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.54 : 3,159.69 = 1,134.19 : x
  2. Step 2: Convert to fraction form
    2,107.54/3,159.69 = 1,134.19/x
  3. Step 3: Cross multiply
    2,107.54x = 3,159.69 × 1,134.19
  4. Step 4: Simplify right side
    2,107.54x = 3,583,688.80
  5. Step 5: Solve for x
    x = 3,583,688.80/2,107.54
  6. Step 6: Final answer
    x = 1,700.41

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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.