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Finding the Fourth Proportional to 2,015.57, 3,023.33 and 554.72

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Solution

The fourth proportional to 2,015.57, 3,023.33 and 554.72 is: 832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.57 : 3,023.33 = 554.72 : x
  2. Step 2: Convert to fraction form
    2,015.57/3,023.33 = 554.72/x
  3. Step 3: Cross multiply
    2,015.57x = 3,023.33 × 554.72
  4. Step 4: Simplify right side
    2,015.57x = 1,677,083.73
  5. Step 5: Solve for x
    x = 1,677,083.73/2,015.57
  6. Step 6: Final answer
    x = 832.07

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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.