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Finding the Fourth Proportional to 1,867.16, 2,576.72 and 1,027.91

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Solution

The fourth proportional to 1,867.16, 2,576.72 and 1,027.91 is: 1,418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.16 : 2,576.72 = 1,027.91 : x
  2. Step 2: Convert to fraction form
    1,867.16/2,576.72 = 1,027.91/x
  3. Step 3: Cross multiply
    1,867.16x = 2,576.72 × 1,027.91
  4. Step 4: Simplify right side
    1,867.16x = 2,648,636.26
  5. Step 5: Solve for x
    x = 2,648,636.26/1,867.16
  6. Step 6: Final answer
    x = 1,418.54

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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.