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Finding the Fourth Proportional to 2,557.12, 3,835.75 and 997.06

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Solution

The fourth proportional to 2,557.12, 3,835.75 and 997.06 is: 1,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.12 : 3,835.75 = 997.06 : x
  2. Step 2: Convert to fraction form
    2,557.12/3,835.75 = 997.06/x
  3. Step 3: Cross multiply
    2,557.12x = 3,835.75 × 997.06
  4. Step 4: Simplify right side
    2,557.12x = 3,824,448.73
  5. Step 5: Solve for x
    x = 3,824,448.73/2,557.12
  6. Step 6: Final answer
    x = 1,495.61

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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.