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Finding the Fourth Proportional to 1,923.88, 2,653.14 and 1,261.30

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Solution

The fourth proportional to 1,923.88, 2,653.14 and 1,261.30 is: 1,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.88 : 2,653.14 = 1,261.30 : x
  2. Step 2: Convert to fraction form
    1,923.88/2,653.14 = 1,261.30/x
  3. Step 3: Cross multiply
    1,923.88x = 2,653.14 × 1,261.30
  4. Step 4: Simplify right side
    1,923.88x = 3,346,405.48
  5. Step 5: Solve for x
    x = 3,346,405.48/1,923.88
  6. Step 6: Final answer
    x = 1,739.40

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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.