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Finding the Fourth Proportional to 2,215.74, 3,058.11 and 1,284.30

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Solution

The fourth proportional to 2,215.74, 3,058.11 and 1,284.30 is: 1,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.74 : 3,058.11 = 1,284.30 : x
  2. Step 2: Convert to fraction form
    2,215.74/3,058.11 = 1,284.30/x
  3. Step 3: Cross multiply
    2,215.74x = 3,058.11 × 1,284.30
  4. Step 4: Simplify right side
    2,215.74x = 3,927,530.67
  5. Step 5: Solve for x
    x = 3,927,530.67/2,215.74
  6. Step 6: Final answer
    x = 1,772.56

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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.