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Finding the Fourth Proportional to 1,749.70, 2,624.32 and 517.24

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Solution

The fourth proportional to 1,749.70, 2,624.32 and 517.24 is: 775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.70 : 2,624.32 = 517.24 : x
  2. Step 2: Convert to fraction form
    1,749.70/2,624.32 = 517.24/x
  3. Step 3: Cross multiply
    1,749.70x = 2,624.32 × 517.24
  4. Step 4: Simplify right side
    1,749.70x = 1,357,403.28
  5. Step 5: Solve for x
    x = 1,357,403.28/1,749.70
  6. Step 6: Final answer
    x = 775.79

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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.