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Finding the Fourth Proportional to 2,036.16, 2,809.76 and 1,208

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Solution

The fourth proportional to 2,036.16, 2,809.76 and 1,208 is: 1,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.16 : 2,809.76 = 1,208 : x
  2. Step 2: Convert to fraction form
    2,036.16/2,809.76 = 1,208/x
  3. Step 3: Cross multiply
    2,036.16x = 2,809.76 × 1,208
  4. Step 4: Simplify right side
    2,036.16x = 3,394,190.08
  5. Step 5: Solve for x
    x = 3,394,190.08/2,036.16
  6. Step 6: Final answer
    x = 1,666.96

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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.