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Finding the Fourth Proportional to 1,983.95, 2,977.30 and 889.54

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Solution

The fourth proportional to 1,983.95, 2,977.30 and 889.54 is: 1,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.95 : 2,977.30 = 889.54 : x
  2. Step 2: Convert to fraction form
    1,983.95/2,977.30 = 889.54/x
  3. Step 3: Cross multiply
    1,983.95x = 2,977.30 × 889.54
  4. Step 4: Simplify right side
    1,983.95x = 2,648,435.36
  5. Step 5: Solve for x
    x = 2,648,435.36/1,983.95
  6. Step 6: Final answer
    x = 1,334.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.