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Finding the Fourth Proportional to 1,585.27, 2,187.76 and 996.00

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Solution

The fourth proportional to 1,585.27, 2,187.76 and 996.00 is: 1,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.27 : 2,187.76 = 996.00 : x
  2. Step 2: Convert to fraction form
    1,585.27/2,187.76 = 996.00/x
  3. Step 3: Cross multiply
    1,585.27x = 2,187.76 × 996.00
  4. Step 4: Simplify right side
    1,585.27x = 2,179,000.13
  5. Step 5: Solve for x
    x = 2,179,000.13/1,585.27
  6. Step 6: Final answer
    x = 1,374.53

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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.