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Finding the Fourth Proportional to 2,563.04, 3,534.22 and 2,228.51

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Solution

The fourth proportional to 2,563.04, 3,534.22 and 2,228.51 is: 3,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.04 : 3,534.22 = 2,228.51 : x
  2. Step 2: Convert to fraction form
    2,563.04/3,534.22 = 2,228.51/x
  3. Step 3: Cross multiply
    2,563.04x = 3,534.22 × 2,228.51
  4. Step 4: Simplify right side
    2,563.04x = 7,876,044.61
  5. Step 5: Solve for x
    x = 7,876,044.61/2,563.04
  6. Step 6: Final answer
    x = 3,072.93

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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.