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Finding the Fourth Proportional to 1,485.52, 2,049.78 and 896.08

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Solution

The fourth proportional to 1,485.52, 2,049.78 and 896.08 is: 1,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.52 : 2,049.78 = 896.08 : x
  2. Step 2: Convert to fraction form
    1,485.52/2,049.78 = 896.08/x
  3. Step 3: Cross multiply
    1,485.52x = 2,049.78 × 896.08
  4. Step 4: Simplify right side
    1,485.52x = 1,836,766.86
  5. Step 5: Solve for x
    x = 1,836,766.86/1,485.52
  6. Step 6: Final answer
    x = 1,236.45

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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.