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Finding the Fourth Proportional to 2,015.70, 3,023.64 and 554.82

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Solution

The fourth proportional to 2,015.70, 3,023.64 and 554.82 is: 832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.70 : 3,023.64 = 554.82 : x
  2. Step 2: Convert to fraction form
    2,015.70/3,023.64 = 554.82/x
  3. Step 3: Cross multiply
    2,015.70x = 3,023.64 × 554.82
  4. Step 4: Simplify right side
    2,015.70x = 1,677,575.94
  5. Step 5: Solve for x
    x = 1,677,575.94/2,015.70
  6. Step 6: Final answer
    x = 832.25

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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.