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Finding the Fourth Proportional to 2,681.16, 4,021.86 and 733.10

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Solution

The fourth proportional to 2,681.16, 4,021.86 and 733.10 is: 1,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.16 : 4,021.86 = 733.10 : x
  2. Step 2: Convert to fraction form
    2,681.16/4,021.86 = 733.10/x
  3. Step 3: Cross multiply
    2,681.16x = 4,021.86 × 733.10
  4. Step 4: Simplify right side
    2,681.16x = 2,948,425.57
  5. Step 5: Solve for x
    x = 2,948,425.57/2,681.16
  6. Step 6: Final answer
    x = 1,099.68

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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.