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Finding the Fourth Proportional to 2,557.46, 3,838.10 and 1,900.87

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Solution

The fourth proportional to 2,557.46, 3,838.10 and 1,900.87 is: 2,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.46 : 3,838.10 = 1,900.87 : x
  2. Step 2: Convert to fraction form
    2,557.46/3,838.10 = 1,900.87/x
  3. Step 3: Cross multiply
    2,557.46x = 3,838.10 × 1,900.87
  4. Step 4: Simplify right side
    2,557.46x = 7,295,710.05
  5. Step 5: Solve for x
    x = 7,295,710.05/2,557.46
  6. Step 6: Final answer
    x = 2,852.71

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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.