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Finding the Fourth Proportional to 2,140.63, 2,954.13 and 1,209.13

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Solution

The fourth proportional to 2,140.63, 2,954.13 and 1,209.13 is: 1,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.63 : 2,954.13 = 1,209.13 : x
  2. Step 2: Convert to fraction form
    2,140.63/2,954.13 = 1,209.13/x
  3. Step 3: Cross multiply
    2,140.63x = 2,954.13 × 1,209.13
  4. Step 4: Simplify right side
    2,140.63x = 3,571,927.21
  5. Step 5: Solve for x
    x = 3,571,927.21/2,140.63
  6. Step 6: Final answer
    x = 1,668.63

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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.