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Finding the Fourth Proportional to 2,093.88, 3,140.84 and 554.88

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Solution

The fourth proportional to 2,093.88, 3,140.84 and 554.88 is: 832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.88 : 3,140.84 = 554.88 : x
  2. Step 2: Convert to fraction form
    2,093.88/3,140.84 = 554.88/x
  3. Step 3: Cross multiply
    2,093.88x = 3,140.84 × 554.88
  4. Step 4: Simplify right side
    2,093.88x = 1,742,789.30
  5. Step 5: Solve for x
    x = 1,742,789.30/2,093.88
  6. Step 6: Final answer
    x = 832.33

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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.