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Finding the Fourth Proportional to 1,916.22, 2,872.47 and 942.99

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Solution

The fourth proportional to 1,916.22, 2,872.47 and 942.99 is: 1,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.22 : 2,872.47 = 942.99 : x
  2. Step 2: Convert to fraction form
    1,916.22/2,872.47 = 942.99/x
  3. Step 3: Cross multiply
    1,916.22x = 2,872.47 × 942.99
  4. Step 4: Simplify right side
    1,916.22x = 2,708,710.49
  5. Step 5: Solve for x
    x = 2,708,710.49/1,916.22
  6. Step 6: Final answer
    x = 1,413.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.