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Finding the Fourth Proportional to 2,558.79, 3,835.59 and 997.83

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Solution

The fourth proportional to 2,558.79, 3,835.59 and 997.83 is: 1,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.79 : 3,835.59 = 997.83 : x
  2. Step 2: Convert to fraction form
    2,558.79/3,835.59 = 997.83/x
  3. Step 3: Cross multiply
    2,558.79x = 3,835.59 × 997.83
  4. Step 4: Simplify right side
    2,558.79x = 3,827,266.77
  5. Step 5: Solve for x
    x = 3,827,266.77/2,558.79
  6. Step 6: Final answer
    x = 1,495.73

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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.