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Finding the Fourth Proportional to 2,822.84, 3,893.10 and 1,703.54

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Solution

The fourth proportional to 2,822.84, 3,893.10 and 1,703.54 is: 2,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.84 : 3,893.10 = 1,703.54 : x
  2. Step 2: Convert to fraction form
    2,822.84/3,893.10 = 1,703.54/x
  3. Step 3: Cross multiply
    2,822.84x = 3,893.10 × 1,703.54
  4. Step 4: Simplify right side
    2,822.84x = 6,632,032.11
  5. Step 5: Solve for x
    x = 6,632,032.11/2,822.84
  6. Step 6: Final answer
    x = 2,349.42

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1.5x scale

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.