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Finding the Fourth Proportional to 1,983.94, 2,972.61 and 1,289.74

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Solution

The fourth proportional to 1,983.94, 2,972.61 and 1,289.74 is: 1,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.94 : 2,972.61 = 1,289.74 : x
  2. Step 2: Convert to fraction form
    1,983.94/2,972.61 = 1,289.74/x
  3. Step 3: Cross multiply
    1,983.94x = 2,972.61 × 1,289.74
  4. Step 4: Simplify right side
    1,983.94x = 3,833,894.02
  5. Step 5: Solve for x
    x = 3,833,894.02/1,983.94
  6. Step 6: Final answer
    x = 1,932.46

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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.