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Finding the Fourth Proportional to 1,796.41, 2,475.66 and 1,402.75

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Solution

The fourth proportional to 1,796.41, 2,475.66 and 1,402.75 is: 1,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.41 : 2,475.66 = 1,402.75 : x
  2. Step 2: Convert to fraction form
    1,796.41/2,475.66 = 1,402.75/x
  3. Step 3: Cross multiply
    1,796.41x = 2,475.66 × 1,402.75
  4. Step 4: Simplify right side
    1,796.41x = 3,472,732.07
  5. Step 5: Solve for x
    x = 3,472,732.07/1,796.41
  6. Step 6: Final answer
    x = 1,933.15

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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.