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Finding the Fourth Proportional to 1,661.85, 2,293.31 and 915.81

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Solution

The fourth proportional to 1,661.85, 2,293.31 and 915.81 is: 1,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.85 : 2,293.31 = 915.81 : x
  2. Step 2: Convert to fraction form
    1,661.85/2,293.31 = 915.81/x
  3. Step 3: Cross multiply
    1,661.85x = 2,293.31 × 915.81
  4. Step 4: Simplify right side
    1,661.85x = 2,100,229.92
  5. Step 5: Solve for x
    x = 2,100,229.92/1,661.85
  6. Step 6: Final answer
    x = 1,263.79

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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.