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Finding the Fourth Proportional to 1,278.31, 1,765.49 and 1,261.00

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Solution

The fourth proportional to 1,278.31, 1,765.49 and 1,261.00 is: 1,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.31 : 1,765.49 = 1,261.00 : x
  2. Step 2: Convert to fraction form
    1,278.31/1,765.49 = 1,261.00/x
  3. Step 3: Cross multiply
    1,278.31x = 1,765.49 × 1,261.00
  4. Step 4: Simplify right side
    1,278.31x = 2,226,281.27
  5. Step 5: Solve for x
    x = 2,226,281.27/1,278.31
  6. Step 6: Final answer
    x = 1,741.58

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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.