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Finding the Fourth Proportional to 1,268.54, 1,897.41 and 991.34

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Solution

The fourth proportional to 1,268.54, 1,897.41 and 991.34 is: 1,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.54 : 1,897.41 = 991.34 : x
  2. Step 2: Convert to fraction form
    1,268.54/1,897.41 = 991.34/x
  3. Step 3: Cross multiply
    1,268.54x = 1,897.41 × 991.34
  4. Step 4: Simplify right side
    1,268.54x = 1,880,978.43
  5. Step 5: Solve for x
    x = 1,880,978.43/1,268.54
  6. Step 6: Final answer
    x = 1,482.79

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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.