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Finding the Fourth Proportional to 1,438.23, 1,984.75 and 817.23

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Solution

The fourth proportional to 1,438.23, 1,984.75 and 817.23 is: 1,127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.23 : 1,984.75 = 817.23 : x
  2. Step 2: Convert to fraction form
    1,438.23/1,984.75 = 817.23/x
  3. Step 3: Cross multiply
    1,438.23x = 1,984.75 × 817.23
  4. Step 4: Simplify right side
    1,438.23x = 1,621,995.20
  5. Step 5: Solve for x
    x = 1,621,995.20/1,438.23
  6. Step 6: Final answer
    x = 1,127.77

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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.