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Finding the Fourth Proportional to 2,097.70, 3,144.25 and 1,056.04

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Solution

The fourth proportional to 2,097.70, 3,144.25 and 1,056.04 is: 1,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.70 : 3,144.25 = 1,056.04 : x
  2. Step 2: Convert to fraction form
    2,097.70/3,144.25 = 1,056.04/x
  3. Step 3: Cross multiply
    2,097.70x = 3,144.25 × 1,056.04
  4. Step 4: Simplify right side
    2,097.70x = 3,320,453.77
  5. Step 5: Solve for x
    x = 3,320,453.77/2,097.70
  6. Step 6: Final answer
    x = 1,582.90

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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.