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Finding the Fourth Proportional to 1,274.40, 1,901.40 and 1,135.80

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Solution

The fourth proportional to 1,274.40, 1,901.40 and 1,135.80 is: 1,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.40 : 1,901.40 = 1,135.80 : x
  2. Step 2: Convert to fraction form
    1,274.40/1,901.40 = 1,135.80/x
  3. Step 3: Cross multiply
    1,274.40x = 1,901.40 × 1,135.80
  4. Step 4: Simplify right side
    1,274.40x = 2,159,610.12
  5. Step 5: Solve for x
    x = 2,159,610.12/1,274.40
  6. Step 6: Final answer
    x = 1,694.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.