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Finding the Fourth Proportional to 2,140.99, 2,954.56 and 1,209.49

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Solution

The fourth proportional to 2,140.99, 2,954.56 and 1,209.49 is: 1,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.99 : 2,954.56 = 1,209.49 : x
  2. Step 2: Convert to fraction form
    2,140.99/2,954.56 = 1,209.49/x
  3. Step 3: Cross multiply
    2,140.99x = 2,954.56 × 1,209.49
  4. Step 4: Simplify right side
    2,140.99x = 3,573,510.77
  5. Step 5: Solve for x
    x = 3,573,510.77/2,140.99
  6. Step 6: Final answer
    x = 1,669.09

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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.