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Finding the Fourth Proportional to 2,037.80, 3,053.40 and 1,843.40

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Solution

The fourth proportional to 2,037.80, 3,053.40 and 1,843.40 is: 2,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.80 : 3,053.40 = 1,843.40 : x
  2. Step 2: Convert to fraction form
    2,037.80/3,053.40 = 1,843.40/x
  3. Step 3: Cross multiply
    2,037.80x = 3,053.40 × 1,843.40
  4. Step 4: Simplify right side
    2,037.80x = 5,628,637.56
  5. Step 5: Solve for x
    x = 5,628,637.56/2,037.80
  6. Step 6: Final answer
    x = 2,762.11

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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.