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Finding the Fourth Proportional to 2,219.58, 3,330.68 and 1,283.71

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Solution

The fourth proportional to 2,219.58, 3,330.68 and 1,283.71 is: 1,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.58 : 3,330.68 = 1,283.71 : x
  2. Step 2: Convert to fraction form
    2,219.58/3,330.68 = 1,283.71/x
  3. Step 3: Cross multiply
    2,219.58x = 3,330.68 × 1,283.71
  4. Step 4: Simplify right side
    2,219.58x = 4,275,627.22
  5. Step 5: Solve for x
    x = 4,275,627.22/2,219.58
  6. Step 6: Final answer
    x = 1,926.32

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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.