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Finding the Fourth Proportional to 1,804.43, 2,703.19 and 1,071.78

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Solution

The fourth proportional to 1,804.43, 2,703.19 and 1,071.78 is: 1,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.43 : 2,703.19 = 1,071.78 : x
  2. Step 2: Convert to fraction form
    1,804.43/2,703.19 = 1,071.78/x
  3. Step 3: Cross multiply
    1,804.43x = 2,703.19 × 1,071.78
  4. Step 4: Simplify right side
    1,804.43x = 2,897,224.98
  5. Step 5: Solve for x
    x = 2,897,224.98/1,804.43
  6. Step 6: Final answer
    x = 1,605.62

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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.