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Finding the Fourth Proportional to 2,032.08, 2,804.08 and 1,286

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Solution

The fourth proportional to 2,032.08, 2,804.08 and 1,286 is: 1,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.08 : 2,804.08 = 1,286 : x
  2. Step 2: Convert to fraction form
    2,032.08/2,804.08 = 1,286/x
  3. Step 3: Cross multiply
    2,032.08x = 2,804.08 × 1,286
  4. Step 4: Simplify right side
    2,032.08x = 3,606,046.88
  5. Step 5: Solve for x
    x = 3,606,046.88/2,032.08
  6. Step 6: Final answer
    x = 1,774.56

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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.