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Finding the Fourth Proportional to 1,749.59, 2,624.43 and 451.05

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Solution

The fourth proportional to 1,749.59, 2,624.43 and 451.05 is: 676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.59 : 2,624.43 = 451.05 : x
  2. Step 2: Convert to fraction form
    1,749.59/2,624.43 = 451.05/x
  3. Step 3: Cross multiply
    1,749.59x = 2,624.43 × 451.05
  4. Step 4: Simplify right side
    1,749.59x = 1,183,761.24
  5. Step 5: Solve for x
    x = 1,183,761.24/1,749.59
  6. Step 6: Final answer
    x = 676.60

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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.