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Finding the Fourth Proportional to 2,388.56, 3,582.02 and 927.32

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Solution

The fourth proportional to 2,388.56, 3,582.02 and 927.32 is: 1,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.56 : 3,582.02 = 927.32 : x
  2. Step 2: Convert to fraction form
    2,388.56/3,582.02 = 927.32/x
  3. Step 3: Cross multiply
    2,388.56x = 3,582.02 × 927.32
  4. Step 4: Simplify right side
    2,388.56x = 3,321,663.19
  5. Step 5: Solve for x
    x = 3,321,663.19/2,388.56
  6. Step 6: Final answer
    x = 1,390.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.