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Finding the Fourth Proportional to 2,444.33, 3,666.66 and 983.48

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Solution

The fourth proportional to 2,444.33, 3,666.66 and 983.48 is: 1,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.33 : 3,666.66 = 983.48 : x
  2. Step 2: Convert to fraction form
    2,444.33/3,666.66 = 983.48/x
  3. Step 3: Cross multiply
    2,444.33x = 3,666.66 × 983.48
  4. Step 4: Simplify right side
    2,444.33x = 3,606,086.78
  5. Step 5: Solve for x
    x = 3,606,086.78/2,444.33
  6. Step 6: Final answer
    x = 1,475.29

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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.