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Finding the Fourth Proportional to 2,139.75, 2,953.40 and 1,208.79

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Solution

The fourth proportional to 2,139.75, 2,953.40 and 1,208.79 is: 1,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.75 : 2,953.40 = 1,208.79 : x
  2. Step 2: Convert to fraction form
    2,139.75/2,953.40 = 1,208.79/x
  3. Step 3: Cross multiply
    2,139.75x = 2,953.40 × 1,208.79
  4. Step 4: Simplify right side
    2,139.75x = 3,570,034.34
  5. Step 5: Solve for x
    x = 3,570,034.34/2,139.75
  6. Step 6: Final answer
    x = 1,668.44

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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.