Home / 2,038.29-3,056.97-942.49

Finding the Fourth Proportional to 2,038.29, 3,056.97 and 942.49

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Solution

The fourth proportional to 2,038.29, 3,056.97 and 942.49 is: 1,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.29 : 3,056.97 = 942.49 : x
  2. Step 2: Convert to fraction form
    2,038.29/3,056.97 = 942.49/x
  3. Step 3: Cross multiply
    2,038.29x = 3,056.97 × 942.49
  4. Step 4: Simplify right side
    2,038.29x = 2,881,163.66
  5. Step 5: Solve for x
    x = 2,881,163.66/2,038.29
  6. Step 6: Final answer
    x = 1,413.52

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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.