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Finding the Fourth Proportional to 2,342.81, 3,513.98 and 611.43

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Solution

The fourth proportional to 2,342.81, 3,513.98 and 611.43 is: 917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.81 : 3,513.98 = 611.43 : x
  2. Step 2: Convert to fraction form
    2,342.81/3,513.98 = 611.43/x
  3. Step 3: Cross multiply
    2,342.81x = 3,513.98 × 611.43
  4. Step 4: Simplify right side
    2,342.81x = 2,148,549.73
  5. Step 5: Solve for x
    x = 2,148,549.73/2,342.81
  6. Step 6: Final answer
    x = 917.08

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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.