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Finding the Fourth Proportional to 1,388.75, 1,904.31 and 1,342.17

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Solution

The fourth proportional to 1,388.75, 1,904.31 and 1,342.17 is: 1,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.75 : 1,904.31 = 1,342.17 : x
  2. Step 2: Convert to fraction form
    1,388.75/1,904.31 = 1,342.17/x
  3. Step 3: Cross multiply
    1,388.75x = 1,904.31 × 1,342.17
  4. Step 4: Simplify right side
    1,388.75x = 2,555,907.75
  5. Step 5: Solve for x
    x = 2,555,907.75/1,388.75
  6. Step 6: Final answer
    x = 1,840.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.