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Finding the Fourth Proportional to 1,818.49, 2,725.98 and 985.83

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Solution

The fourth proportional to 1,818.49, 2,725.98 and 985.83 is: 1,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.49 : 2,725.98 = 985.83 : x
  2. Step 2: Convert to fraction form
    1,818.49/2,725.98 = 985.83/x
  3. Step 3: Cross multiply
    1,818.49x = 2,725.98 × 985.83
  4. Step 4: Simplify right side
    1,818.49x = 2,687,352.86
  5. Step 5: Solve for x
    x = 2,687,352.86/1,818.49
  6. Step 6: Final answer
    x = 1,477.79

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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.