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Finding the Fourth Proportional to 1,749.60, 2,624.54 and 451.06

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Solution

The fourth proportional to 1,749.60, 2,624.54 and 451.06 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.60 : 2,624.54 = 451.06 : x
  2. Step 2: Convert to fraction form
    1,749.60/2,624.54 = 451.06/x
  3. Step 3: Cross multiply
    1,749.60x = 2,624.54 × 451.06
  4. Step 4: Simplify right side
    1,749.60x = 1,183,832.70
  5. Step 5: Solve for x
    x = 1,183,832.70/1,749.60
  6. Step 6: Final answer
    x = 676.63

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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.