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Finding the Fourth Proportional to 1,796.75, 2,478.12 and 1,133.36

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Solution

The fourth proportional to 1,796.75, 2,478.12 and 1,133.36 is: 1,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.75 : 2,478.12 = 1,133.36 : x
  2. Step 2: Convert to fraction form
    1,796.75/2,478.12 = 1,133.36/x
  3. Step 3: Cross multiply
    1,796.75x = 2,478.12 × 1,133.36
  4. Step 4: Simplify right side
    1,796.75x = 2,808,602.08
  5. Step 5: Solve for x
    x = 2,808,602.08/1,796.75
  6. Step 6: Final answer
    x = 1,563.16

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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.