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Finding the Fourth Proportional to 2,473.71, 3,704.64 and 1,804.83

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Solution

The fourth proportional to 2,473.71, 3,704.64 and 1,804.83 is: 2,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.71 : 3,704.64 = 1,804.83 : x
  2. Step 2: Convert to fraction form
    2,473.71/3,704.64 = 1,804.83/x
  3. Step 3: Cross multiply
    2,473.71x = 3,704.64 × 1,804.83
  4. Step 4: Simplify right side
    2,473.71x = 6,686,245.41
  5. Step 5: Solve for x
    x = 6,686,245.41/2,473.71
  6. Step 6: Final answer
    x = 2,702.92

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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.