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Finding the Fourth Proportional to 3,041.74, 4,197.99 and 1,765.99

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Solution

The fourth proportional to 3,041.74, 4,197.99 and 1,765.99 is: 2,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.74 : 4,197.99 = 1,765.99 : x
  2. Step 2: Convert to fraction form
    3,041.74/4,197.99 = 1,765.99/x
  3. Step 3: Cross multiply
    3,041.74x = 4,197.99 × 1,765.99
  4. Step 4: Simplify right side
    3,041.74x = 7,413,608.36
  5. Step 5: Solve for x
    x = 7,413,608.36/3,041.74
  6. Step 6: Final answer
    x = 2,437.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.