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Finding the Fourth Proportional to 2,288.90, 3,433.98 and 971.94

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Solution

The fourth proportional to 2,288.90, 3,433.98 and 971.94 is: 1,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.90 : 3,433.98 = 971.94 : x
  2. Step 2: Convert to fraction form
    2,288.90/3,433.98 = 971.94/x
  3. Step 3: Cross multiply
    2,288.90x = 3,433.98 × 971.94
  4. Step 4: Simplify right side
    2,288.90x = 3,337,622.52
  5. Step 5: Solve for x
    x = 3,337,622.52/2,288.90
  6. Step 6: Final answer
    x = 1,458.18

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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.