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Finding the Fourth Proportional to 2,342.52, 3,513.80 and 611.16

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Solution

The fourth proportional to 2,342.52, 3,513.80 and 611.16 is: 916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.52 : 3,513.80 = 611.16 : x
  2. Step 2: Convert to fraction form
    2,342.52/3,513.80 = 611.16/x
  3. Step 3: Cross multiply
    2,342.52x = 3,513.80 × 611.16
  4. Step 4: Simplify right side
    2,342.52x = 2,147,494.01
  5. Step 5: Solve for x
    x = 2,147,494.01/2,342.52
  6. Step 6: Final answer
    x = 916.75

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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.