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Finding the Fourth Proportional to 1,187.92, 1,639.48 and 892.67

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Solution

The fourth proportional to 1,187.92, 1,639.48 and 892.67 is: 1,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.92 : 1,639.48 = 892.67 : x
  2. Step 2: Convert to fraction form
    1,187.92/1,639.48 = 892.67/x
  3. Step 3: Cross multiply
    1,187.92x = 1,639.48 × 892.67
  4. Step 4: Simplify right side
    1,187.92x = 1,463,514.61
  5. Step 5: Solve for x
    x = 1,463,514.61/1,187.92
  6. Step 6: Final answer
    x = 1,232.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.