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Finding the Fourth Proportional to 2,762.60, 4,144.61 and 1,673.96

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Solution

The fourth proportional to 2,762.60, 4,144.61 and 1,673.96 is: 2,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.60 : 4,144.61 = 1,673.96 : x
  2. Step 2: Convert to fraction form
    2,762.60/4,144.61 = 1,673.96/x
  3. Step 3: Cross multiply
    2,762.60x = 4,144.61 × 1,673.96
  4. Step 4: Simplify right side
    2,762.60x = 6,937,894.82
  5. Step 5: Solve for x
    x = 6,937,894.82/2,762.60
  6. Step 6: Final answer
    x = 2,511.37

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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.