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Finding the Fourth Proportional to 2,084.84, 3,125.69 and 1,262.91

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Solution

The fourth proportional to 2,084.84, 3,125.69 and 1,262.91 is: 1,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.84 : 3,125.69 = 1,262.91 : x
  2. Step 2: Convert to fraction form
    2,084.84/3,125.69 = 1,262.91/x
  3. Step 3: Cross multiply
    2,084.84x = 3,125.69 × 1,262.91
  4. Step 4: Simplify right side
    2,084.84x = 3,947,465.16
  5. Step 5: Solve for x
    x = 3,947,465.16/2,084.84
  6. Step 6: Final answer
    x = 1,893.41

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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.