Home / 1,977.57-2,966.37-1,101.41

Finding the Fourth Proportional to 1,977.57, 2,966.37 and 1,101.41

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Solution

The fourth proportional to 1,977.57, 2,966.37 and 1,101.41 is: 1,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.57 : 2,966.37 = 1,101.41 : x
  2. Step 2: Convert to fraction form
    1,977.57/2,966.37 = 1,101.41/x
  3. Step 3: Cross multiply
    1,977.57x = 2,966.37 × 1,101.41
  4. Step 4: Simplify right side
    1,977.57x = 3,267,174.75
  5. Step 5: Solve for x
    x = 3,267,174.75/1,977.57
  6. Step 6: Final answer
    x = 1,652.12

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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.