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Finding the Fourth Proportional to 2,886.81, 4,326.75 and 1,220.30

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Solution

The fourth proportional to 2,886.81, 4,326.75 and 1,220.30 is: 1,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.81 : 4,326.75 = 1,220.30 : x
  2. Step 2: Convert to fraction form
    2,886.81/4,326.75 = 1,220.30/x
  3. Step 3: Cross multiply
    2,886.81x = 4,326.75 × 1,220.30
  4. Step 4: Simplify right side
    2,886.81x = 5,279,927.62
  5. Step 5: Solve for x
    x = 5,279,927.62/2,886.81
  6. Step 6: Final answer
    x = 1,828.99

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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.