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Finding the Fourth Proportional to 1,932.33, 2,666.62 and 1,048.13

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Solution

The fourth proportional to 1,932.33, 2,666.62 and 1,048.13 is: 1,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.33 : 2,666.62 = 1,048.13 : x
  2. Step 2: Convert to fraction form
    1,932.33/2,666.62 = 1,048.13/x
  3. Step 3: Cross multiply
    1,932.33x = 2,666.62 × 1,048.13
  4. Step 4: Simplify right side
    1,932.33x = 2,794,964.42
  5. Step 5: Solve for x
    x = 2,794,964.42/1,932.33
  6. Step 6: Final answer
    x = 1,446.42

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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.