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Finding the Fourth Proportional to 1,922.87, 2,653.62 and 1,261.46

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Solution

The fourth proportional to 1,922.87, 2,653.62 and 1,261.46 is: 1,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.87 : 2,653.62 = 1,261.46 : x
  2. Step 2: Convert to fraction form
    1,922.87/2,653.62 = 1,261.46/x
  3. Step 3: Cross multiply
    1,922.87x = 2,653.62 × 1,261.46
  4. Step 4: Simplify right side
    1,922.87x = 3,347,435.49
  5. Step 5: Solve for x
    x = 3,347,435.49/1,922.87
  6. Step 6: Final answer
    x = 1,740.85

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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.