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Finding the Fourth Proportional to 1,855.87, 2,557.50 and 1,384.31

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Solution

The fourth proportional to 1,855.87, 2,557.50 and 1,384.31 is: 1,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.87 : 2,557.50 = 1,384.31 : x
  2. Step 2: Convert to fraction form
    1,855.87/2,557.50 = 1,384.31/x
  3. Step 3: Cross multiply
    1,855.87x = 2,557.50 × 1,384.31
  4. Step 4: Simplify right side
    1,855.87x = 3,540,372.83
  5. Step 5: Solve for x
    x = 3,540,372.83/1,855.87
  6. Step 6: Final answer
    x = 1,907.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.