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Finding the Fourth Proportional to 2,216.64, 3,058.72 and 1,284.96

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Solution

The fourth proportional to 2,216.64, 3,058.72 and 1,284.96 is: 1,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.64 : 3,058.72 = 1,284.96 : x
  2. Step 2: Convert to fraction form
    2,216.64/3,058.72 = 1,284.96/x
  3. Step 3: Cross multiply
    2,216.64x = 3,058.72 × 1,284.96
  4. Step 4: Simplify right side
    2,216.64x = 3,930,332.85
  5. Step 5: Solve for x
    x = 3,930,332.85/2,216.64
  6. Step 6: Final answer
    x = 1,773.10

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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.