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Finding the Fourth Proportional to 2,084.01, 3,124.87 and 852.29

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Solution

The fourth proportional to 2,084.01, 3,124.87 and 852.29 is: 1,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.01 : 3,124.87 = 852.29 : x
  2. Step 2: Convert to fraction form
    2,084.01/3,124.87 = 852.29/x
  3. Step 3: Cross multiply
    2,084.01x = 3,124.87 × 852.29
  4. Step 4: Simplify right side
    2,084.01x = 2,663,291.89
  5. Step 5: Solve for x
    x = 2,663,291.89/2,084.01
  6. Step 6: Final answer
    x = 1,277.96

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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.