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Finding the Fourth Proportional to 2,011.80, 3,017.70 and 1,810.20

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Solution

The fourth proportional to 2,011.80, 3,017.70 and 1,810.20 is: 2,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.80 : 3,017.70 = 1,810.20 : x
  2. Step 2: Convert to fraction form
    2,011.80/3,017.70 = 1,810.20/x
  3. Step 3: Cross multiply
    2,011.80x = 3,017.70 × 1,810.20
  4. Step 4: Simplify right side
    2,011.80x = 5,462,640.54
  5. Step 5: Solve for x
    x = 5,462,640.54/2,011.80
  6. Step 6: Final answer
    x = 2,715.30

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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.