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Finding the Fourth Proportional to 1,749.35, 2,624.42 and 579.72

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Solution

The fourth proportional to 1,749.35, 2,624.42 and 579.72 is: 869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.35 : 2,624.42 = 579.72 : x
  2. Step 2: Convert to fraction form
    1,749.35/2,624.42 = 579.72/x
  3. Step 3: Cross multiply
    1,749.35x = 2,624.42 × 579.72
  4. Step 4: Simplify right side
    1,749.35x = 1,521,425.86
  5. Step 5: Solve for x
    x = 1,521,425.86/1,749.35
  6. Step 6: Final answer
    x = 869.71

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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.