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Finding the Fourth Proportional to 1,858.89, 2,782.94 and 1,398.55

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Solution

The fourth proportional to 1,858.89, 2,782.94 and 1,398.55 is: 2,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.89 : 2,782.94 = 1,398.55 : x
  2. Step 2: Convert to fraction form
    1,858.89/2,782.94 = 1,398.55/x
  3. Step 3: Cross multiply
    1,858.89x = 2,782.94 × 1,398.55
  4. Step 4: Simplify right side
    1,858.89x = 3,892,080.74
  5. Step 5: Solve for x
    x = 3,892,080.74/1,858.89
  6. Step 6: Final answer
    x = 2,093.77

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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.