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Finding the Fourth Proportional to 2,205.69, 3,043.83 and 1,210.98

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Solution

The fourth proportional to 2,205.69, 3,043.83 and 1,210.98 is: 1,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.69 : 3,043.83 = 1,210.98 : x
  2. Step 2: Convert to fraction form
    2,205.69/3,043.83 = 1,210.98/x
  3. Step 3: Cross multiply
    2,205.69x = 3,043.83 × 1,210.98
  4. Step 4: Simplify right side
    2,205.69x = 3,686,017.25
  5. Step 5: Solve for x
    x = 3,686,017.25/2,205.69
  6. Step 6: Final answer
    x = 1,671.14

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