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Finding the Fourth Proportional to 1,749.58, 2,624.14 and 517.12

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Solution

The fourth proportional to 1,749.58, 2,624.14 and 517.12 is: 775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.58 : 2,624.14 = 517.12 : x
  2. Step 2: Convert to fraction form
    1,749.58/2,624.14 = 517.12/x
  3. Step 3: Cross multiply
    1,749.58x = 2,624.14 × 517.12
  4. Step 4: Simplify right side
    1,749.58x = 1,356,979.57
  5. Step 5: Solve for x
    x = 1,356,979.57/1,749.58
  6. Step 6: Final answer
    x = 775.61

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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.