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Finding the Fourth Proportional to 2,954.34, 4,077.05 and 1,908.23

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Solution

The fourth proportional to 2,954.34, 4,077.05 and 1,908.23 is: 2,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.34 : 4,077.05 = 1,908.23 : x
  2. Step 2: Convert to fraction form
    2,954.34/4,077.05 = 1,908.23/x
  3. Step 3: Cross multiply
    2,954.34x = 4,077.05 × 1,908.23
  4. Step 4: Simplify right side
    2,954.34x = 7,779,934.48
  5. Step 5: Solve for x
    x = 7,779,934.48/2,954.34
  6. Step 6: Final answer
    x = 2,633.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.