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Finding the Fourth Proportional to 1,261.26, 1,742.37 and 931.50

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Solution

The fourth proportional to 1,261.26, 1,742.37 and 931.50 is: 1,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.26 : 1,742.37 = 931.50 : x
  2. Step 2: Convert to fraction form
    1,261.26/1,742.37 = 931.50/x
  3. Step 3: Cross multiply
    1,261.26x = 1,742.37 × 931.50
  4. Step 4: Simplify right side
    1,261.26x = 1,623,017.66
  5. Step 5: Solve for x
    x = 1,623,017.66/1,261.26
  6. Step 6: Final answer
    x = 1,286.82

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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.