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Finding the Fourth Proportional to 2,873.78, 4,307.07 and 1,228.39

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Solution

The fourth proportional to 2,873.78, 4,307.07 and 1,228.39 is: 1,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.78 : 4,307.07 = 1,228.39 : x
  2. Step 2: Convert to fraction form
    2,873.78/4,307.07 = 1,228.39/x
  3. Step 3: Cross multiply
    2,873.78x = 4,307.07 × 1,228.39
  4. Step 4: Simplify right side
    2,873.78x = 5,290,769.42
  5. Step 5: Solve for x
    x = 5,290,769.42/2,873.78
  6. Step 6: Final answer
    x = 1,841.05

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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.