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Finding the Fourth Proportional to 2,696.76, 4,046.49 and 1,829.25

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Solution

The fourth proportional to 2,696.76, 4,046.49 and 1,829.25 is: 2,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.76 : 4,046.49 = 1,829.25 : x
  2. Step 2: Convert to fraction form
    2,696.76/4,046.49 = 1,829.25/x
  3. Step 3: Cross multiply
    2,696.76x = 4,046.49 × 1,829.25
  4. Step 4: Simplify right side
    2,696.76x = 7,402,041.83
  5. Step 5: Solve for x
    x = 7,402,041.83/2,696.76
  6. Step 6: Final answer
    x = 2,744.79

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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.