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Finding the Fourth Proportional to 2,143.94, 2,958.62 and 1,199.82

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Solution

The fourth proportional to 2,143.94, 2,958.62 and 1,199.82 is: 1,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.94 : 2,958.62 = 1,199.82 : x
  2. Step 2: Convert to fraction form
    2,143.94/2,958.62 = 1,199.82/x
  3. Step 3: Cross multiply
    2,143.94x = 2,958.62 × 1,199.82
  4. Step 4: Simplify right side
    2,143.94x = 3,549,811.45
  5. Step 5: Solve for x
    x = 3,549,811.45/2,143.94
  6. Step 6: Final answer
    x = 1,655.74

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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.