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Finding the Fourth Proportional to 2,821.52, 4,228.60 and 1,954

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Solution

The fourth proportional to 2,821.52, 4,228.60 and 1,954 is: 2,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.52 : 4,228.60 = 1,954 : x
  2. Step 2: Convert to fraction form
    2,821.52/4,228.60 = 1,954/x
  3. Step 3: Cross multiply
    2,821.52x = 4,228.60 × 1,954
  4. Step 4: Simplify right side
    2,821.52x = 8,262,684.40
  5. Step 5: Solve for x
    x = 8,262,684.40/2,821.52
  6. Step 6: Final answer
    x = 2,928.45

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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.