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Finding the Fourth Proportional to 3,193.05, 4,406.06 and 1,776.51

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Solution

The fourth proportional to 3,193.05, 4,406.06 and 1,776.51 is: 2,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.05 : 4,406.06 = 1,776.51 : x
  2. Step 2: Convert to fraction form
    3,193.05/4,406.06 = 1,776.51/x
  3. Step 3: Cross multiply
    3,193.05x = 4,406.06 × 1,776.51
  4. Step 4: Simplify right side
    3,193.05x = 7,827,409.65
  5. Step 5: Solve for x
    x = 7,827,409.65/3,193.05
  6. Step 6: Final answer
    x = 2,451.39

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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.