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Finding the Fourth Proportional to 2,015.35, 3,022.76 and 554.62

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Solution

The fourth proportional to 2,015.35, 3,022.76 and 554.62 is: 831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.35 : 3,022.76 = 554.62 : x
  2. Step 2: Convert to fraction form
    2,015.35/3,022.76 = 554.62/x
  3. Step 3: Cross multiply
    2,015.35x = 3,022.76 × 554.62
  4. Step 4: Simplify right side
    2,015.35x = 1,676,465.26
  5. Step 5: Solve for x
    x = 1,676,465.26/2,015.35
  6. Step 6: Final answer
    x = 831.85

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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.