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Finding the Fourth Proportional to 1,817.80, 2,729.90 and 1,760.20

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Solution

The fourth proportional to 1,817.80, 2,729.90 and 1,760.20 is: 2,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.80 : 2,729.90 = 1,760.20 : x
  2. Step 2: Convert to fraction form
    1,817.80/2,729.90 = 1,760.20/x
  3. Step 3: Cross multiply
    1,817.80x = 2,729.90 × 1,760.20
  4. Step 4: Simplify right side
    1,817.80x = 4,805,169.98
  5. Step 5: Solve for x
    x = 4,805,169.98/1,817.80
  6. Step 6: Final answer
    x = 2,643.40

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1.5x scale

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.