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Finding the Fourth Proportional to 2,653.06, 3,649.05 and 2,127.94

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Solution

The fourth proportional to 2,653.06, 3,649.05 and 2,127.94 is: 2,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.06 : 3,649.05 = 2,127.94 : x
  2. Step 2: Convert to fraction form
    2,653.06/3,649.05 = 2,127.94/x
  3. Step 3: Cross multiply
    2,653.06x = 3,649.05 × 2,127.94
  4. Step 4: Simplify right side
    2,653.06x = 7,764,959.46
  5. Step 5: Solve for x
    x = 7,764,959.46/2,653.06
  6. Step 6: Final answer
    x = 2,926.79

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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.