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Finding the Fourth Proportional to 2,053.08, 3,078.84 and 736.47

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Solution

The fourth proportional to 2,053.08, 3,078.84 and 736.47 is: 1,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.08 : 3,078.84 = 736.47 : x
  2. Step 2: Convert to fraction form
    2,053.08/3,078.84 = 736.47/x
  3. Step 3: Cross multiply
    2,053.08x = 3,078.84 × 736.47
  4. Step 4: Simplify right side
    2,053.08x = 2,267,473.29
  5. Step 5: Solve for x
    x = 2,267,473.29/2,053.08
  6. Step 6: Final answer
    x = 1,104.43

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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.