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Finding the Fourth Proportional to 2,206.74, 3,303 and 1,218

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Solution

The fourth proportional to 2,206.74, 3,303 and 1,218 is: 1,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.74 : 3,303 = 1,218 : x
  2. Step 2: Convert to fraction form
    2,206.74/3,303 = 1,218/x
  3. Step 3: Cross multiply
    2,206.74x = 3,303 × 1,218
  4. Step 4: Simplify right side
    2,206.74x = 4,023,054
  5. Step 5: Solve for x
    x = 4,023,054/2,206.74
  6. Step 6: Final answer
    x = 1,823.08

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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.