Home / 2,288.18-3,431.94-972.45

Finding the Fourth Proportional to 2,288.18, 3,431.94 and 972.45

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Solution

The fourth proportional to 2,288.18, 3,431.94 and 972.45 is: 1,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.18 : 3,431.94 = 972.45 : x
  2. Step 2: Convert to fraction form
    2,288.18/3,431.94 = 972.45/x
  3. Step 3: Cross multiply
    2,288.18x = 3,431.94 × 972.45
  4. Step 4: Simplify right side
    2,288.18x = 3,337,390.05
  5. Step 5: Solve for x
    x = 3,337,390.05/2,288.18
  6. Step 6: Final answer
    x = 1,458.54

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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.