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Finding the Fourth Proportional to 2,021.94, 3,030.28 and 910.54

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Solution

The fourth proportional to 2,021.94, 3,030.28 and 910.54 is: 1,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.94 : 3,030.28 = 910.54 : x
  2. Step 2: Convert to fraction form
    2,021.94/3,030.28 = 910.54/x
  3. Step 3: Cross multiply
    2,021.94x = 3,030.28 × 910.54
  4. Step 4: Simplify right side
    2,021.94x = 2,759,191.15
  5. Step 5: Solve for x
    x = 2,759,191.15/2,021.94
  6. Step 6: Final answer
    x = 1,364.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.