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Finding the Fourth Proportional to 1,858.40, 2,787.51 and 559.83

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Solution

The fourth proportional to 1,858.40, 2,787.51 and 559.83 is: 839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.40 : 2,787.51 = 559.83 : x
  2. Step 2: Convert to fraction form
    1,858.40/2,787.51 = 559.83/x
  3. Step 3: Cross multiply
    1,858.40x = 2,787.51 × 559.83
  4. Step 4: Simplify right side
    1,858.40x = 1,560,531.72
  5. Step 5: Solve for x
    x = 1,560,531.72/1,858.40
  6. Step 6: Final answer
    x = 839.72

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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.