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Finding the Fourth Proportional to 1,896.55, 2,840.45 and 1,830.88

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Solution

The fourth proportional to 1,896.55, 2,840.45 and 1,830.88 is: 2,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.55 : 2,840.45 = 1,830.88 : x
  2. Step 2: Convert to fraction form
    1,896.55/2,840.45 = 1,830.88/x
  3. Step 3: Cross multiply
    1,896.55x = 2,840.45 × 1,830.88
  4. Step 4: Simplify right side
    1,896.55x = 5,200,519.80
  5. Step 5: Solve for x
    x = 5,200,519.80/1,896.55
  6. Step 6: Final answer
    x = 2,742.10

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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.