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Finding the Fourth Proportional to 1,433.90, 2,150.67 and 912.35

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Solution

The fourth proportional to 1,433.90, 2,150.67 and 912.35 is: 1,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.90 : 2,150.67 = 912.35 : x
  2. Step 2: Convert to fraction form
    1,433.90/2,150.67 = 912.35/x
  3. Step 3: Cross multiply
    1,433.90x = 2,150.67 × 912.35
  4. Step 4: Simplify right side
    1,433.90x = 1,962,163.77
  5. Step 5: Solve for x
    x = 1,962,163.77/1,433.90
  6. Step 6: Final answer
    x = 1,368.41

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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.