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Finding the Fourth Proportional to 2,151.70, 2,973.38 and 1,832.49

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Solution

The fourth proportional to 2,151.70, 2,973.38 and 1,832.49 is: 2,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.70 : 2,973.38 = 1,832.49 : x
  2. Step 2: Convert to fraction form
    2,151.70/2,973.38 = 1,832.49/x
  3. Step 3: Cross multiply
    2,151.70x = 2,973.38 × 1,832.49
  4. Step 4: Simplify right side
    2,151.70x = 5,448,679.95
  5. Step 5: Solve for x
    x = 5,448,679.95/2,151.70
  6. Step 6: Final answer
    x = 2,532.27

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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.