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Finding the Fourth Proportional to 1,222.72, 1,832.88 and 935.36

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Solution

The fourth proportional to 1,222.72, 1,832.88 and 935.36 is: 1,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.72 : 1,832.88 = 935.36 : x
  2. Step 2: Convert to fraction form
    1,222.72/1,832.88 = 935.36/x
  3. Step 3: Cross multiply
    1,222.72x = 1,832.88 × 935.36
  4. Step 4: Simplify right side
    1,222.72x = 1,714,402.64
  5. Step 5: Solve for x
    x = 1,714,402.64/1,222.72
  6. Step 6: Final answer
    x = 1,402.12

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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.