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Finding the Fourth Proportional to 1,847.66, 2,767.82 and 1,538.51

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Solution

The fourth proportional to 1,847.66, 2,767.82 and 1,538.51 is: 2,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.66 : 2,767.82 = 1,538.51 : x
  2. Step 2: Convert to fraction form
    1,847.66/2,767.82 = 1,538.51/x
  3. Step 3: Cross multiply
    1,847.66x = 2,767.82 × 1,538.51
  4. Step 4: Simplify right side
    1,847.66x = 4,258,297.22
  5. Step 5: Solve for x
    x = 4,258,297.22/1,847.66
  6. Step 6: Final answer
    x = 2,304.70

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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.