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Finding the Fourth Proportional to 2,578.64, 3,563.08 and 2,058.96

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Solution

The fourth proportional to 2,578.64, 3,563.08 and 2,058.96 is: 2,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.64 : 3,563.08 = 2,058.96 : x
  2. Step 2: Convert to fraction form
    2,578.64/3,563.08 = 2,058.96/x
  3. Step 3: Cross multiply
    2,578.64x = 3,563.08 × 2,058.96
  4. Step 4: Simplify right side
    2,578.64x = 7,336,239.20
  5. Step 5: Solve for x
    x = 7,336,239.20/2,578.64
  6. Step 6: Final answer
    x = 2,845.00

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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.