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Finding the Fourth Proportional to 2,051.56, 2,830.11 and 1,388.17

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Solution

The fourth proportional to 2,051.56, 2,830.11 and 1,388.17 is: 1,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.56 : 2,830.11 = 1,388.17 : x
  2. Step 2: Convert to fraction form
    2,051.56/2,830.11 = 1,388.17/x
  3. Step 3: Cross multiply
    2,051.56x = 2,830.11 × 1,388.17
  4. Step 4: Simplify right side
    2,051.56x = 3,928,673.80
  5. Step 5: Solve for x
    x = 3,928,673.80/2,051.56
  6. Step 6: Final answer
    x = 1,914.97

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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.