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Finding the Fourth Proportional to 1,131.46, 1,700.64 and 1,107.24

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Solution

The fourth proportional to 1,131.46, 1,700.64 and 1,107.24 is: 1,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.46 : 1,700.64 = 1,107.24 : x
  2. Step 2: Convert to fraction form
    1,131.46/1,700.64 = 1,107.24/x
  3. Step 3: Cross multiply
    1,131.46x = 1,700.64 × 1,107.24
  4. Step 4: Simplify right side
    1,131.46x = 1,883,016.63
  5. Step 5: Solve for x
    x = 1,883,016.63/1,131.46
  6. Step 6: Final answer
    x = 1,664.24

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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.