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Finding the Fourth Proportional to 1,880.71, 2,596.57 and 1,208.82

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Solution

The fourth proportional to 1,880.71, 2,596.57 and 1,208.82 is: 1,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.71 : 2,596.57 = 1,208.82 : x
  2. Step 2: Convert to fraction form
    1,880.71/2,596.57 = 1,208.82/x
  3. Step 3: Cross multiply
    1,880.71x = 2,596.57 × 1,208.82
  4. Step 4: Simplify right side
    1,880.71x = 3,138,785.75
  5. Step 5: Solve for x
    x = 3,138,785.75/1,880.71
  6. Step 6: Final answer
    x = 1,668.94

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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.