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Finding the Fourth Proportional to 1,869.19, 2,803.59 and 829.21

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Solution

The fourth proportional to 1,869.19, 2,803.59 and 829.21 is: 1,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.19 : 2,803.59 = 829.21 : x
  2. Step 2: Convert to fraction form
    1,869.19/2,803.59 = 829.21/x
  3. Step 3: Cross multiply
    1,869.19x = 2,803.59 × 829.21
  4. Step 4: Simplify right side
    1,869.19x = 2,324,764.86
  5. Step 5: Solve for x
    x = 2,324,764.86/1,869.19
  6. Step 6: Final answer
    x = 1,243.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.