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Finding the Fourth Proportional to 1,342.96, 1,852.56 and 1,249.12

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Solution

The fourth proportional to 1,342.96, 1,852.56 and 1,249.12 is: 1,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.96 : 1,852.56 = 1,249.12 : x
  2. Step 2: Convert to fraction form
    1,342.96/1,852.56 = 1,249.12/x
  3. Step 3: Cross multiply
    1,342.96x = 1,852.56 × 1,249.12
  4. Step 4: Simplify right side
    1,342.96x = 2,314,069.75
  5. Step 5: Solve for x
    x = 2,314,069.75/1,342.96
  6. Step 6: Final answer
    x = 1,723.11

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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.