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Finding the Fourth Proportional to 2,973.70, 4,104.22 and 1,714.54

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Solution

The fourth proportional to 2,973.70, 4,104.22 and 1,714.54 is: 2,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.70 : 4,104.22 = 1,714.54 : x
  2. Step 2: Convert to fraction form
    2,973.70/4,104.22 = 1,714.54/x
  3. Step 3: Cross multiply
    2,973.70x = 4,104.22 × 1,714.54
  4. Step 4: Simplify right side
    2,973.70x = 7,036,849.36
  5. Step 5: Solve for x
    x = 7,036,849.36/2,973.70
  6. Step 6: Final answer
    x = 2,366.36

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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.