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Finding the Fourth Proportional to 2,007.03, 2,766.78 and 1,416.54

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Solution

The fourth proportional to 2,007.03, 2,766.78 and 1,416.54 is: 1,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.03 : 2,766.78 = 1,416.54 : x
  2. Step 2: Convert to fraction form
    2,007.03/2,766.78 = 1,416.54/x
  3. Step 3: Cross multiply
    2,007.03x = 2,766.78 × 1,416.54
  4. Step 4: Simplify right side
    2,007.03x = 3,919,253.34
  5. Step 5: Solve for x
    x = 3,919,253.34/2,007.03
  6. Step 6: Final answer
    x = 1,952.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.