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Finding the Fourth Proportional to 2,535.67, 3,800.72 and 1,657.81

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Solution

The fourth proportional to 2,535.67, 3,800.72 and 1,657.81 is: 2,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.67 : 3,800.72 = 1,657.81 : x
  2. Step 2: Convert to fraction form
    2,535.67/3,800.72 = 1,657.81/x
  3. Step 3: Cross multiply
    2,535.67x = 3,800.72 × 1,657.81
  4. Step 4: Simplify right side
    2,535.67x = 6,300,863.33
  5. Step 5: Solve for x
    x = 6,300,863.33/2,535.67
  6. Step 6: Final answer
    x = 2,484.89

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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.