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Finding the Fourth Proportional to 2,666.19, 3,992.28 and 1,881.96

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Solution

The fourth proportional to 2,666.19, 3,992.28 and 1,881.96 is: 2,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.19 : 3,992.28 = 1,881.96 : x
  2. Step 2: Convert to fraction form
    2,666.19/3,992.28 = 1,881.96/x
  3. Step 3: Cross multiply
    2,666.19x = 3,992.28 × 1,881.96
  4. Step 4: Simplify right side
    2,666.19x = 7,513,311.27
  5. Step 5: Solve for x
    x = 7,513,311.27/2,666.19
  6. Step 6: Final answer
    x = 2,818.00

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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.