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Finding the Fourth Proportional to 2,342.51, 3,513.77 and 611

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Solution

The fourth proportional to 2,342.51, 3,513.77 and 611 is: 916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.51 : 3,513.77 = 611 : x
  2. Step 2: Convert to fraction form
    2,342.51/3,513.77 = 611/x
  3. Step 3: Cross multiply
    2,342.51x = 3,513.77 × 611
  4. Step 4: Simplify right side
    2,342.51x = 2,146,910.42
  5. Step 5: Solve for x
    x = 2,146,910.42/2,342.51
  6. Step 6: Final answer
    x = 916.50

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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.