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Finding the Fourth Proportional to 1,589.44, 2,193.66 and 926.66

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Solution

The fourth proportional to 1,589.44, 2,193.66 and 926.66 is: 1,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.44 : 2,193.66 = 926.66 : x
  2. Step 2: Convert to fraction form
    1,589.44/2,193.66 = 926.66/x
  3. Step 3: Cross multiply
    1,589.44x = 2,193.66 × 926.66
  4. Step 4: Simplify right side
    1,589.44x = 2,032,776.98
  5. Step 5: Solve for x
    x = 2,032,776.98/1,589.44
  6. Step 6: Final answer
    x = 1,278.93

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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.