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Finding the Fourth Proportional to 1,748.74, 2,624.04 and 709.30

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Solution

The fourth proportional to 1,748.74, 2,624.04 and 709.30 is: 1,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.74 : 2,624.04 = 709.30 : x
  2. Step 2: Convert to fraction form
    1,748.74/2,624.04 = 709.30/x
  3. Step 3: Cross multiply
    1,748.74x = 2,624.04 × 709.30
  4. Step 4: Simplify right side
    1,748.74x = 1,861,231.57
  5. Step 5: Solve for x
    x = 1,861,231.57/1,748.74
  6. Step 6: Final answer
    x = 1,064.33

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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.