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Finding the Fourth Proportional to 1,392.54, 1,922.31 and 925.98

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Solution

The fourth proportional to 1,392.54, 1,922.31 and 925.98 is: 1,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.54 : 1,922.31 = 925.98 : x
  2. Step 2: Convert to fraction form
    1,392.54/1,922.31 = 925.98/x
  3. Step 3: Cross multiply
    1,392.54x = 1,922.31 × 925.98
  4. Step 4: Simplify right side
    1,392.54x = 1,780,020.61
  5. Step 5: Solve for x
    x = 1,780,020.61/1,392.54
  6. Step 6: Final answer
    x = 1,278.25

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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.