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Finding the Fourth Proportional to 2,708.49, 3,736.58 and 1,822.76

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Solution

The fourth proportional to 2,708.49, 3,736.58 and 1,822.76 is: 2,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.49 : 3,736.58 = 1,822.76 : x
  2. Step 2: Convert to fraction form
    2,708.49/3,736.58 = 1,822.76/x
  3. Step 3: Cross multiply
    2,708.49x = 3,736.58 × 1,822.76
  4. Step 4: Simplify right side
    2,708.49x = 6,810,888.56
  5. Step 5: Solve for x
    x = 6,810,888.56/2,708.49
  6. Step 6: Final answer
    x = 2,514.64

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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.