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Finding the Fourth Proportional to 2,583.46, 3,876.54 and 1,123.64

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Solution

The fourth proportional to 2,583.46, 3,876.54 and 1,123.64 is: 1,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.46 : 3,876.54 = 1,123.64 : x
  2. Step 2: Convert to fraction form
    2,583.46/3,876.54 = 1,123.64/x
  3. Step 3: Cross multiply
    2,583.46x = 3,876.54 × 1,123.64
  4. Step 4: Simplify right side
    2,583.46x = 4,355,835.41
  5. Step 5: Solve for x
    x = 4,355,835.41/2,583.46
  6. Step 6: Final answer
    x = 1,686.05

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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.