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Finding the Fourth Proportional to 2,394.78, 3,592.08 and 835.14

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Solution

The fourth proportional to 2,394.78, 3,592.08 and 835.14 is: 1,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.78 : 3,592.08 = 835.14 : x
  2. Step 2: Convert to fraction form
    2,394.78/3,592.08 = 835.14/x
  3. Step 3: Cross multiply
    2,394.78x = 3,592.08 × 835.14
  4. Step 4: Simplify right side
    2,394.78x = 2,999,889.69
  5. Step 5: Solve for x
    x = 2,999,889.69/2,394.78
  6. Step 6: Final answer
    x = 1,252.68

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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.