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Finding the Fourth Proportional to 2,015.41, 3,023.28 and 554.68

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Solution

The fourth proportional to 2,015.41, 3,023.28 and 554.68 is: 832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.41 : 3,023.28 = 554.68 : x
  2. Step 2: Convert to fraction form
    2,015.41/3,023.28 = 554.68/x
  3. Step 3: Cross multiply
    2,015.41x = 3,023.28 × 554.68
  4. Step 4: Simplify right side
    2,015.41x = 1,676,952.95
  5. Step 5: Solve for x
    x = 1,676,952.95/2,015.41
  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.