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Finding the Fourth Proportional to 1,801.94, 2,703.21 and 828.14

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Solution

The fourth proportional to 1,801.94, 2,703.21 and 828.14 is: 1,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.94 : 2,703.21 = 828.14 : x
  2. Step 2: Convert to fraction form
    1,801.94/2,703.21 = 828.14/x
  3. Step 3: Cross multiply
    1,801.94x = 2,703.21 × 828.14
  4. Step 4: Simplify right side
    1,801.94x = 2,238,622.81
  5. Step 5: Solve for x
    x = 2,238,622.81/1,801.94
  6. Step 6: Final answer
    x = 1,242.34

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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.