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Finding the Fourth Proportional to 1,483.97, 2,223.40 and 983.33

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Solution

The fourth proportional to 1,483.97, 2,223.40 and 983.33 is: 1,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.97 : 2,223.40 = 983.33 : x
  2. Step 2: Convert to fraction form
    1,483.97/2,223.40 = 983.33/x
  3. Step 3: Cross multiply
    1,483.97x = 2,223.40 × 983.33
  4. Step 4: Simplify right side
    1,483.97x = 2,186,331.01
  5. Step 5: Solve for x
    x = 2,186,331.01/1,483.97
  6. Step 6: Final answer
    x = 1,473.30

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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.