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Finding the Fourth Proportional to 2,143.08, 2,961.12 and 1,704.84

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Solution

The fourth proportional to 2,143.08, 2,961.12 and 1,704.84 is: 2,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.08 : 2,961.12 = 1,704.84 : x
  2. Step 2: Convert to fraction form
    2,143.08/2,961.12 = 1,704.84/x
  3. Step 3: Cross multiply
    2,143.08x = 2,961.12 × 1,704.84
  4. Step 4: Simplify right side
    2,143.08x = 5,048,235.82
  5. Step 5: Solve for x
    x = 5,048,235.82/2,143.08
  6. Step 6: Final answer
    x = 2,355.60

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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.