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Finding the Fourth Proportional to 2,048.77, 2,827.16 and 1,209.43

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Solution

The fourth proportional to 2,048.77, 2,827.16 and 1,209.43 is: 1,668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.77 : 2,827.16 = 1,209.43 : x
  2. Step 2: Convert to fraction form
    2,048.77/2,827.16 = 1,209.43/x
  3. Step 3: Cross multiply
    2,048.77x = 2,827.16 × 1,209.43
  4. Step 4: Simplify right side
    2,048.77x = 3,419,254.14
  5. Step 5: Solve for x
    x = 3,419,254.14/2,048.77
  6. Step 6: Final answer
    x = 1,668.93

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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.