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Finding the Fourth Proportional to 1,278.63, 1,753.07 and 1,276.61

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Solution

The fourth proportional to 1,278.63, 1,753.07 and 1,276.61 is: 1,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.63 : 1,753.07 = 1,276.61 : x
  2. Step 2: Convert to fraction form
    1,278.63/1,753.07 = 1,276.61/x
  3. Step 3: Cross multiply
    1,278.63x = 1,753.07 × 1,276.61
  4. Step 4: Simplify right side
    1,278.63x = 2,237,971.54
  5. Step 5: Solve for x
    x = 2,237,971.54/1,278.63
  6. Step 6: Final answer
    x = 1,750.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.