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Finding the Fourth Proportional to 3,221.16, 4,444.74 and 1,804.68

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Solution

The fourth proportional to 3,221.16, 4,444.74 and 1,804.68 is: 2,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.16 : 4,444.74 = 1,804.68 : x
  2. Step 2: Convert to fraction form
    3,221.16/4,444.74 = 1,804.68/x
  3. Step 3: Cross multiply
    3,221.16x = 4,444.74 × 1,804.68
  4. Step 4: Simplify right side
    3,221.16x = 8,021,333.38
  5. Step 5: Solve for x
    x = 8,021,333.38/3,221.16
  6. Step 6: Final answer
    x = 2,490.20

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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.