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Finding the Fourth Proportional to 2,216.57, 3,058.29 and 1,377.68

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Solution

The fourth proportional to 2,216.57, 3,058.29 and 1,377.68 is: 1,900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.57 : 3,058.29 = 1,377.68 : x
  2. Step 2: Convert to fraction form
    2,216.57/3,058.29 = 1,377.68/x
  3. Step 3: Cross multiply
    2,216.57x = 3,058.29 × 1,377.68
  4. Step 4: Simplify right side
    2,216.57x = 4,213,329.68
  5. Step 5: Solve for x
    x = 4,213,329.68/2,216.57
  6. Step 6: Final answer
    x = 1,900.84

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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.