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Finding the Fourth Proportional to 2,097.74, 3,144.40 and 709.76

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Solution

The fourth proportional to 2,097.74, 3,144.40 and 709.76 is: 1,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.74 : 3,144.40 = 709.76 : x
  2. Step 2: Convert to fraction form
    2,097.74/3,144.40 = 709.76/x
  3. Step 3: Cross multiply
    2,097.74x = 3,144.40 × 709.76
  4. Step 4: Simplify right side
    2,097.74x = 2,231,769.34
  5. Step 5: Solve for x
    x = 2,231,769.34/2,097.74
  6. Step 6: Final answer
    x = 1,063.89

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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.