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Finding the Fourth Proportional to 2,105.82, 2,905.20 and 1,319.58

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Solution

The fourth proportional to 2,105.82, 2,905.20 and 1,319.58 is: 1,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.82 : 2,905.20 = 1,319.58 : x
  2. Step 2: Convert to fraction form
    2,105.82/2,905.20 = 1,319.58/x
  3. Step 3: Cross multiply
    2,105.82x = 2,905.20 × 1,319.58
  4. Step 4: Simplify right side
    2,105.82x = 3,833,643.82
  5. Step 5: Solve for x
    x = 3,833,643.82/2,105.82
  6. Step 6: Final answer
    x = 1,820.50

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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.