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Finding the Fourth Proportional to 4,098.26, 6,145.22 and 1,788.50

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Solution

The fourth proportional to 4,098.26, 6,145.22 and 1,788.50 is: 2,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.26 : 6,145.22 = 1,788.50 : x
  2. Step 2: Convert to fraction form
    4,098.26/6,145.22 = 1,788.50/x
  3. Step 3: Cross multiply
    4,098.26x = 6,145.22 × 1,788.50
  4. Step 4: Simplify right side
    4,098.26x = 10,990,725.97
  5. Step 5: Solve for x
    x = 10,990,725.97/4,098.26
  6. Step 6: Final answer
    x = 2,681.80

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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.