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Finding the Fourth Proportional to 3,269.66, 4,904.48 and 804.51

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Solution

The fourth proportional to 3,269.66, 4,904.48 and 804.51 is: 1,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.66 : 4,904.48 = 804.51 : x
  2. Step 2: Convert to fraction form
    3,269.66/4,904.48 = 804.51/x
  3. Step 3: Cross multiply
    3,269.66x = 4,904.48 × 804.51
  4. Step 4: Simplify right side
    3,269.66x = 3,945,699.18
  5. Step 5: Solve for x
    x = 3,945,699.18/3,269.66
  6. Step 6: Final answer
    x = 1,206.76

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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.