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Finding the Fourth Proportional to 2,023.55, 3,014.06 and 1,928.75

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Solution

The fourth proportional to 2,023.55, 3,014.06 and 1,928.75 is: 2,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.55 : 3,014.06 = 1,928.75 : x
  2. Step 2: Convert to fraction form
    2,023.55/3,014.06 = 1,928.75/x
  3. Step 3: Cross multiply
    2,023.55x = 3,014.06 × 1,928.75
  4. Step 4: Simplify right side
    2,023.55x = 5,813,368.23
  5. Step 5: Solve for x
    x = 5,813,368.23/2,023.55
  6. Step 6: Final answer
    x = 2,872.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.