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Finding the Fourth Proportional to 1,977.50, 2,720.82 and 1,928.90

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Solution

The fourth proportional to 1,977.50, 2,720.82 and 1,928.90 is: 2,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.50 : 2,720.82 = 1,928.90 : x
  2. Step 2: Convert to fraction form
    1,977.50/2,720.82 = 1,928.90/x
  3. Step 3: Cross multiply
    1,977.50x = 2,720.82 × 1,928.90
  4. Step 4: Simplify right side
    1,977.50x = 5,248,189.70
  5. Step 5: Solve for x
    x = 5,248,189.70/1,977.50
  6. Step 6: Final answer
    x = 2,653.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.