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Finding the Fourth Proportional to 1,796.14, 2,478.64 and 1,050.12

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Solution

The fourth proportional to 1,796.14, 2,478.64 and 1,050.12 is: 1,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.14 : 2,478.64 = 1,050.12 : x
  2. Step 2: Convert to fraction form
    1,796.14/2,478.64 = 1,050.12/x
  3. Step 3: Cross multiply
    1,796.14x = 2,478.64 × 1,050.12
  4. Step 4: Simplify right side
    1,796.14x = 2,602,869.44
  5. Step 5: Solve for x
    x = 2,602,869.44/1,796.14
  6. Step 6: Final answer
    x = 1,449.15

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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.