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Finding the Fourth Proportional to 2,296.48, 3,444.78 and 835.24

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Solution

The fourth proportional to 2,296.48, 3,444.78 and 835.24 is: 1,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.48 : 3,444.78 = 835.24 : x
  2. Step 2: Convert to fraction form
    2,296.48/3,444.78 = 835.24/x
  3. Step 3: Cross multiply
    2,296.48x = 3,444.78 × 835.24
  4. Step 4: Simplify right side
    2,296.48x = 2,877,218.05
  5. Step 5: Solve for x
    x = 2,877,218.05/2,296.48
  6. Step 6: Final answer
    x = 1,252.88

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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.