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Finding the Fourth Proportional to 2,057.06, 2,837.82 and 1,429.08

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Solution

The fourth proportional to 2,057.06, 2,837.82 and 1,429.08 is: 1,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.06 : 2,837.82 = 1,429.08 : x
  2. Step 2: Convert to fraction form
    2,057.06/2,837.82 = 1,429.08/x
  3. Step 3: Cross multiply
    2,057.06x = 2,837.82 × 1,429.08
  4. Step 4: Simplify right side
    2,057.06x = 4,055,471.81
  5. Step 5: Solve for x
    x = 4,055,471.81/2,057.06
  6. Step 6: Final answer
    x = 1,971.49

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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.