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Finding the Fourth Proportional to 2,071.94, 3,109.93 and 1,522.55

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Solution

The fourth proportional to 2,071.94, 3,109.93 and 1,522.55 is: 2,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.94 : 3,109.93 = 1,522.55 : x
  2. Step 2: Convert to fraction form
    2,071.94/3,109.93 = 1,522.55/x
  3. Step 3: Cross multiply
    2,071.94x = 3,109.93 × 1,522.55
  4. Step 4: Simplify right side
    2,071.94x = 4,735,027.89
  5. Step 5: Solve for x
    x = 4,735,027.89/2,071.94
  6. Step 6: Final answer
    x = 2,285.32

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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.