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Finding the Fourth Proportional to 2,336.26, 3,502.36 and 875.42

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Solution

The fourth proportional to 2,336.26, 3,502.36 and 875.42 is: 1,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.26 : 3,502.36 = 875.42 : x
  2. Step 2: Convert to fraction form
    2,336.26/3,502.36 = 875.42/x
  3. Step 3: Cross multiply
    2,336.26x = 3,502.36 × 875.42
  4. Step 4: Simplify right side
    2,336.26x = 3,066,035.99
  5. Step 5: Solve for x
    x = 3,066,035.99/2,336.26
  6. Step 6: Final answer
    x = 1,312.37

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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.