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Finding the Fourth Proportional to 2,874.76, 4,308.71 and 1,313.33

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Solution

The fourth proportional to 2,874.76, 4,308.71 and 1,313.33 is: 1,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.76 : 4,308.71 = 1,313.33 : x
  2. Step 2: Convert to fraction form
    2,874.76/4,308.71 = 1,313.33/x
  3. Step 3: Cross multiply
    2,874.76x = 4,308.71 × 1,313.33
  4. Step 4: Simplify right side
    2,874.76x = 5,658,729.99
  5. Step 5: Solve for x
    x = 5,658,729.99/2,874.76
  6. Step 6: Final answer
    x = 1,968.42

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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.