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Finding the Fourth Proportional to 2,143.94, 3,214.89 and 1,047.03

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Solution

The fourth proportional to 2,143.94, 3,214.89 and 1,047.03 is: 1,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.94 : 3,214.89 = 1,047.03 : x
  2. Step 2: Convert to fraction form
    2,143.94/3,214.89 = 1,047.03/x
  3. Step 3: Cross multiply
    2,143.94x = 3,214.89 × 1,047.03
  4. Step 4: Simplify right side
    2,143.94x = 3,366,074.22
  5. Step 5: Solve for x
    x = 3,366,074.22/2,143.94
  6. Step 6: Final answer
    x = 1,570.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.