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Finding the Fourth Proportional to 3,264.47, 4,899.44 and 1,804.65

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Solution

The fourth proportional to 3,264.47, 4,899.44 and 1,804.65 is: 2,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.47 : 4,899.44 = 1,804.65 : x
  2. Step 2: Convert to fraction form
    3,264.47/4,899.44 = 1,804.65/x
  3. Step 3: Cross multiply
    3,264.47x = 4,899.44 × 1,804.65
  4. Step 4: Simplify right side
    3,264.47x = 8,841,765.37
  5. Step 5: Solve for x
    x = 8,841,765.37/3,264.47
  6. Step 6: Final answer
    x = 2,708.49

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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.