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Finding the Fourth Proportional to 2,578.56, 3,557.01 and 2,225.94

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Solution

The fourth proportional to 2,578.56, 3,557.01 and 2,225.94 is: 3,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.56 : 3,557.01 = 2,225.94 : x
  2. Step 2: Convert to fraction form
    2,578.56/3,557.01 = 2,225.94/x
  3. Step 3: Cross multiply
    2,578.56x = 3,557.01 × 2,225.94
  4. Step 4: Simplify right side
    2,578.56x = 7,917,690.84
  5. Step 5: Solve for x
    x = 7,917,690.84/2,578.56
  6. Step 6: Final answer
    x = 3,070.59

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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.