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Finding the Fourth Proportional to 2,161.93, 3,242.29 and 929.06

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Solution

The fourth proportional to 2,161.93, 3,242.29 and 929.06 is: 1,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.93 : 3,242.29 = 929.06 : x
  2. Step 2: Convert to fraction form
    2,161.93/3,242.29 = 929.06/x
  3. Step 3: Cross multiply
    2,161.93x = 3,242.29 × 929.06
  4. Step 4: Simplify right side
    2,161.93x = 3,012,287.73
  5. Step 5: Solve for x
    x = 3,012,287.73/2,161.93
  6. Step 6: Final answer
    x = 1,393.33

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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.