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Finding the Fourth Proportional to 1,767.81, 2,438.60 and 1,642.67

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Solution

The fourth proportional to 1,767.81, 2,438.60 and 1,642.67 is: 2,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.81 : 2,438.60 = 1,642.67 : x
  2. Step 2: Convert to fraction form
    1,767.81/2,438.60 = 1,642.67/x
  3. Step 3: Cross multiply
    1,767.81x = 2,438.60 × 1,642.67
  4. Step 4: Simplify right side
    1,767.81x = 4,005,794.66
  5. Step 5: Solve for x
    x = 4,005,794.66/1,767.81
  6. Step 6: Final answer
    x = 2,265.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.