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Finding the Fourth Proportional to 2,191.54, 3,021.14 and 1,666.66

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Solution

The fourth proportional to 2,191.54, 3,021.14 and 1,666.66 is: 2,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.54 : 3,021.14 = 1,666.66 : x
  2. Step 2: Convert to fraction form
    2,191.54/3,021.14 = 1,666.66/x
  3. Step 3: Cross multiply
    2,191.54x = 3,021.14 × 1,666.66
  4. Step 4: Simplify right side
    2,191.54x = 5,035,213.19
  5. Step 5: Solve for x
    x = 5,035,213.19/2,191.54
  6. Step 6: Final answer
    x = 2,297.57

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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.