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Finding the Fourth Proportional to 2,316.24, 3,474.23 and 835.49

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Solution

The fourth proportional to 2,316.24, 3,474.23 and 835.49 is: 1,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.24 : 3,474.23 = 835.49 : x
  2. Step 2: Convert to fraction form
    2,316.24/3,474.23 = 835.49/x
  3. Step 3: Cross multiply
    2,316.24x = 3,474.23 × 835.49
  4. Step 4: Simplify right side
    2,316.24x = 2,902,695.20
  5. Step 5: Solve for x
    x = 2,902,695.20/2,316.24
  6. Step 6: Final answer
    x = 1,253.19

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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.