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Finding the Fourth Proportional to 2,705.07, 4,053.51 and 2,008.49

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Solution

The fourth proportional to 2,705.07, 4,053.51 and 2,008.49 is: 3,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.07 : 4,053.51 = 2,008.49 : x
  2. Step 2: Convert to fraction form
    2,705.07/4,053.51 = 2,008.49/x
  3. Step 3: Cross multiply
    2,705.07x = 4,053.51 × 2,008.49
  4. Step 4: Simplify right side
    2,705.07x = 8,141,414.03
  5. Step 5: Solve for x
    x = 8,141,414.03/2,705.07
  6. Step 6: Final answer
    x = 3,009.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.