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Finding the Fourth Proportional to 1,162.49, 1,740.89 and 1,120.57

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Solution

The fourth proportional to 1,162.49, 1,740.89 and 1,120.57 is: 1,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.49 : 1,740.89 = 1,120.57 : x
  2. Step 2: Convert to fraction form
    1,162.49/1,740.89 = 1,120.57/x
  3. Step 3: Cross multiply
    1,162.49x = 1,740.89 × 1,120.57
  4. Step 4: Simplify right side
    1,162.49x = 1,950,787.56
  5. Step 5: Solve for x
    x = 1,950,787.56/1,162.49
  6. Step 6: Final answer
    x = 1,678.12

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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.