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Finding the Fourth Proportional to 2,663.81, 3,992.81 and 1,019.64

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Solution

The fourth proportional to 2,663.81, 3,992.81 and 1,019.64 is: 1,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.81 : 3,992.81 = 1,019.64 : x
  2. Step 2: Convert to fraction form
    2,663.81/3,992.81 = 1,019.64/x
  3. Step 3: Cross multiply
    2,663.81x = 3,992.81 × 1,019.64
  4. Step 4: Simplify right side
    2,663.81x = 4,071,244.40
  5. Step 5: Solve for x
    x = 4,071,244.40/2,663.81
  6. Step 6: Final answer
    x = 1,528.35

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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.