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Finding the Fourth Proportional to 1,827.18, 2,740.37 and 852.75

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Solution

The fourth proportional to 1,827.18, 2,740.37 and 852.75 is: 1,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.18 : 2,740.37 = 852.75 : x
  2. Step 2: Convert to fraction form
    1,827.18/2,740.37 = 852.75/x
  3. Step 3: Cross multiply
    1,827.18x = 2,740.37 × 852.75
  4. Step 4: Simplify right side
    1,827.18x = 2,336,846.25
  5. Step 5: Solve for x
    x = 2,336,846.25/1,827.18
  6. Step 6: Final answer
    x = 1,278.94

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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.