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Finding the Fourth Proportional to 1,858.52, 2,787.70 and 559.96

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Solution

The fourth proportional to 1,858.52, 2,787.70 and 559.96 is: 839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.52 : 2,787.70 = 559.96 : x
  2. Step 2: Convert to fraction form
    1,858.52/2,787.70 = 559.96/x
  3. Step 3: Cross multiply
    1,858.52x = 2,787.70 × 559.96
  4. Step 4: Simplify right side
    1,858.52x = 1,561,000.49
  5. Step 5: Solve for x
    x = 1,561,000.49/1,858.52
  6. Step 6: Final answer
    x = 839.92

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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.