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Finding the Fourth Proportional to 2,084.70, 3,125.01 and 1,043.15

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Solution

The fourth proportional to 2,084.70, 3,125.01 and 1,043.15 is: 1,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.70 : 3,125.01 = 1,043.15 : x
  2. Step 2: Convert to fraction form
    2,084.70/3,125.01 = 1,043.15/x
  3. Step 3: Cross multiply
    2,084.70x = 3,125.01 × 1,043.15
  4. Step 4: Simplify right side
    2,084.70x = 3,259,838.56
  5. Step 5: Solve for x
    x = 3,259,838.56/2,084.70
  6. Step 6: Final answer
    x = 1,563.70

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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.