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Finding the Fourth Proportional to 1,926.95, 2,876.16 and 1,880.33

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Solution

The fourth proportional to 1,926.95, 2,876.16 and 1,880.33 is: 2,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.95 : 2,876.16 = 1,880.33 : x
  2. Step 2: Convert to fraction form
    1,926.95/2,876.16 = 1,880.33/x
  3. Step 3: Cross multiply
    1,926.95x = 2,876.16 × 1,880.33
  4. Step 4: Simplify right side
    1,926.95x = 5,408,115.55
  5. Step 5: Solve for x
    x = 5,408,115.55/1,926.95
  6. Step 6: Final answer
    x = 2,806.57

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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.