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Finding the Fourth Proportional to 1,589.74, 2,193.93 and 926.55

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Solution

The fourth proportional to 1,589.74, 2,193.93 and 926.55 is: 1,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.74 : 2,193.93 = 926.55 : x
  2. Step 2: Convert to fraction form
    1,589.74/2,193.93 = 926.55/x
  3. Step 3: Cross multiply
    1,589.74x = 2,193.93 × 926.55
  4. Step 4: Simplify right side
    1,589.74x = 2,032,789.01
  5. Step 5: Solve for x
    x = 2,032,789.01/1,589.74
  6. Step 6: Final answer
    x = 1,278.69

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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.