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Finding the Fourth Proportional to 1,555.85, 2,326.89 and 1,383.73

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Solution

The fourth proportional to 1,555.85, 2,326.89 and 1,383.73 is: 2,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.85 : 2,326.89 = 1,383.73 : x
  2. Step 2: Convert to fraction form
    1,555.85/2,326.89 = 1,383.73/x
  3. Step 3: Cross multiply
    1,555.85x = 2,326.89 × 1,383.73
  4. Step 4: Simplify right side
    1,555.85x = 3,219,787.50
  5. Step 5: Solve for x
    x = 3,219,787.50/1,555.85
  6. Step 6: Final answer
    x = 2,069.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.