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Finding the Fourth Proportional to 1,261.93, 1,740.97 and 931.14

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Solution

The fourth proportional to 1,261.93, 1,740.97 and 931.14 is: 1,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.93 : 1,740.97 = 931.14 : x
  2. Step 2: Convert to fraction form
    1,261.93/1,740.97 = 931.14/x
  3. Step 3: Cross multiply
    1,261.93x = 1,740.97 × 931.14
  4. Step 4: Simplify right side
    1,261.93x = 1,621,086.81
  5. Step 5: Solve for x
    x = 1,621,086.81/1,261.93
  6. Step 6: Final answer
    x = 1,284.61

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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.