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Finding the Fourth Proportional to 2,745.46, 4,127.11 and 2,203.58

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Solution

The fourth proportional to 2,745.46, 4,127.11 and 2,203.58 is: 3,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.46 : 4,127.11 = 2,203.58 : x
  2. Step 2: Convert to fraction form
    2,745.46/4,127.11 = 2,203.58/x
  3. Step 3: Cross multiply
    2,745.46x = 4,127.11 × 2,203.58
  4. Step 4: Simplify right side
    2,745.46x = 9,094,417.05
  5. Step 5: Solve for x
    x = 9,094,417.05/2,745.46
  6. Step 6: Final answer
    x = 3,312.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.