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Finding the Fourth Proportional to 2,123.50, 3,169.48 and 1,809.12

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Solution

The fourth proportional to 2,123.50, 3,169.48 and 1,809.12 is: 2,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.50 : 3,169.48 = 1,809.12 : x
  2. Step 2: Convert to fraction form
    2,123.50/3,169.48 = 1,809.12/x
  3. Step 3: Cross multiply
    2,123.50x = 3,169.48 × 1,809.12
  4. Step 4: Simplify right side
    2,123.50x = 5,733,969.66
  5. Step 5: Solve for x
    x = 5,733,969.66/2,123.50
  6. Step 6: Final answer
    x = 2,700.24

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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.