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Finding the Fourth Proportional to 2,143.42, 2,954.52 and 1,700.54

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Solution

The fourth proportional to 2,143.42, 2,954.52 and 1,700.54 is: 2,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.42 : 2,954.52 = 1,700.54 : x
  2. Step 2: Convert to fraction form
    2,143.42/2,954.52 = 1,700.54/x
  3. Step 3: Cross multiply
    2,143.42x = 2,954.52 × 1,700.54
  4. Step 4: Simplify right side
    2,143.42x = 5,024,279.44
  5. Step 5: Solve for x
    x = 5,024,279.44/2,143.42
  6. Step 6: Final answer
    x = 2,344.05

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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.