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Finding the Fourth Proportional to 1,292.71, 1,782.61 and 1,161.67

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Solution

The fourth proportional to 1,292.71, 1,782.61 and 1,161.67 is: 1,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.71 : 1,782.61 = 1,161.67 : x
  2. Step 2: Convert to fraction form
    1,292.71/1,782.61 = 1,161.67/x
  3. Step 3: Cross multiply
    1,292.71x = 1,782.61 × 1,161.67
  4. Step 4: Simplify right side
    1,292.71x = 2,070,804.56
  5. Step 5: Solve for x
    x = 2,070,804.56/1,292.71
  6. Step 6: Final answer
    x = 1,601.91

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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.