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Finding the Fourth Proportional to 2,257.02, 3,377.03 and 1,455.73

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Solution

The fourth proportional to 2,257.02, 3,377.03 and 1,455.73 is: 2,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.02 : 3,377.03 = 1,455.73 : x
  2. Step 2: Convert to fraction form
    2,257.02/3,377.03 = 1,455.73/x
  3. Step 3: Cross multiply
    2,257.02x = 3,377.03 × 1,455.73
  4. Step 4: Simplify right side
    2,257.02x = 4,916,028.16
  5. Step 5: Solve for x
    x = 4,916,028.16/2,257.02
  6. Step 6: Final answer
    x = 2,178.11

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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.