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Finding the Fourth Proportional to 1,622.40, 2,238.98 and 914.23

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Solution

The fourth proportional to 1,622.40, 2,238.98 and 914.23 is: 1,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.40 : 2,238.98 = 914.23 : x
  2. Step 2: Convert to fraction form
    1,622.40/2,238.98 = 914.23/x
  3. Step 3: Cross multiply
    1,622.40x = 2,238.98 × 914.23
  4. Step 4: Simplify right side
    1,622.40x = 2,046,927.94
  5. Step 5: Solve for x
    x = 2,046,927.94/1,622.40
  6. Step 6: Final answer
    x = 1,261.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.