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Finding the Fourth Proportional to 2,140.77, 2,953.85 and 1,209.09

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Solution

The fourth proportional to 2,140.77, 2,953.85 and 1,209.09 is: 1,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.77 : 2,953.85 = 1,209.09 : x
  2. Step 2: Convert to fraction form
    2,140.77/2,953.85 = 1,209.09/x
  3. Step 3: Cross multiply
    2,140.77x = 2,953.85 × 1,209.09
  4. Step 4: Simplify right side
    2,140.77x = 3,571,464.45
  5. Step 5: Solve for x
    x = 3,571,464.45/2,140.77
  6. Step 6: Final answer
    x = 1,668.31

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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.