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Finding the Fourth Proportional to 2,129.78, 3,189.81 and 1,915.94

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Solution

The fourth proportional to 2,129.78, 3,189.81 and 1,915.94 is: 2,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.78 : 3,189.81 = 1,915.94 : x
  2. Step 2: Convert to fraction form
    2,129.78/3,189.81 = 1,915.94/x
  3. Step 3: Cross multiply
    2,129.78x = 3,189.81 × 1,915.94
  4. Step 4: Simplify right side
    2,129.78x = 6,111,484.57
  5. Step 5: Solve for x
    x = 6,111,484.57/2,129.78
  6. Step 6: Final answer
    x = 2,869.54

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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.