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Finding the Fourth Proportional to 1,388.45, 1,924.84 and 1,314.47

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Solution

The fourth proportional to 1,388.45, 1,924.84 and 1,314.47 is: 1,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.45 : 1,924.84 = 1,314.47 : x
  2. Step 2: Convert to fraction form
    1,388.45/1,924.84 = 1,314.47/x
  3. Step 3: Cross multiply
    1,388.45x = 1,924.84 × 1,314.47
  4. Step 4: Simplify right side
    1,388.45x = 2,530,144.43
  5. Step 5: Solve for x
    x = 2,530,144.43/1,388.45
  6. Step 6: Final answer
    x = 1,822.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.