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Finding the Fourth Proportional to 2,388.37, 3,580.41 and 927.17

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Solution

The fourth proportional to 2,388.37, 3,580.41 and 927.17 is: 1,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.37 : 3,580.41 = 927.17 : x
  2. Step 2: Convert to fraction form
    2,388.37/3,580.41 = 927.17/x
  3. Step 3: Cross multiply
    2,388.37x = 3,580.41 × 927.17
  4. Step 4: Simplify right side
    2,388.37x = 3,319,648.74
  5. Step 5: Solve for x
    x = 3,319,648.74/2,388.37
  6. Step 6: Final answer
    x = 1,389.93

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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.