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Finding the Fourth Proportional to 1,976.03, 2,949.57 and 1,742.49

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Solution

The fourth proportional to 1,976.03, 2,949.57 and 1,742.49 is: 2,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.03 : 2,949.57 = 1,742.49 : x
  2. Step 2: Convert to fraction form
    1,976.03/2,949.57 = 1,742.49/x
  3. Step 3: Cross multiply
    1,976.03x = 2,949.57 × 1,742.49
  4. Step 4: Simplify right side
    1,976.03x = 5,139,596.23
  5. Step 5: Solve for x
    x = 5,139,596.23/1,976.03
  6. Step 6: Final answer
    x = 2,600.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.