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Finding the Fourth Proportional to 2,496.95, 3,745.83 and 853.46

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Solution

The fourth proportional to 2,496.95, 3,745.83 and 853.46 is: 1,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.95 : 3,745.83 = 853.46 : x
  2. Step 2: Convert to fraction form
    2,496.95/3,745.83 = 853.46/x
  3. Step 3: Cross multiply
    2,496.95x = 3,745.83 × 853.46
  4. Step 4: Simplify right side
    2,496.95x = 3,196,916.07
  5. Step 5: Solve for x
    x = 3,196,916.07/2,496.95
  6. Step 6: Final answer
    x = 1,280.33

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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.