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Finding the Fourth Proportional to 2,071.88, 2,858.94 and 1,232.60

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Solution

The fourth proportional to 2,071.88, 2,858.94 and 1,232.60 is: 1,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.88 : 2,858.94 = 1,232.60 : x
  2. Step 2: Convert to fraction form
    2,071.88/2,858.94 = 1,232.60/x
  3. Step 3: Cross multiply
    2,071.88x = 2,858.94 × 1,232.60
  4. Step 4: Simplify right side
    2,071.88x = 3,523,929.44
  5. Step 5: Solve for x
    x = 3,523,929.44/2,071.88
  6. Step 6: Final answer
    x = 1,700.84

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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.