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Finding the Fourth Proportional to 2,084.84, 3,126.72 and 852.02

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Solution

The fourth proportional to 2,084.84, 3,126.72 and 852.02 is: 1,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.84 : 3,126.72 = 852.02 : x
  2. Step 2: Convert to fraction form
    2,084.84/3,126.72 = 852.02/x
  3. Step 3: Cross multiply
    2,084.84x = 3,126.72 × 852.02
  4. Step 4: Simplify right side
    2,084.84x = 2,664,012.34
  5. Step 5: Solve for x
    x = 2,664,012.34/2,084.84
  6. Step 6: Final answer
    x = 1,277.80

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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.