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Finding the Fourth Proportional to 2,015.54, 3,022.96 and 554.36

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Solution

The fourth proportional to 2,015.54, 3,022.96 and 554.36 is: 831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.54 : 3,022.96 = 554.36 : x
  2. Step 2: Convert to fraction form
    2,015.54/3,022.96 = 554.36/x
  3. Step 3: Cross multiply
    2,015.54x = 3,022.96 × 554.36
  4. Step 4: Simplify right side
    2,015.54x = 1,675,808.11
  5. Step 5: Solve for x
    x = 1,675,808.11/2,015.54
  6. Step 6: Final answer
    x = 831.44

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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.