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Finding the Fourth Proportional to 1,794.26, 2,475.50 and 1,047.80

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Solution

The fourth proportional to 1,794.26, 2,475.50 and 1,047.80 is: 1,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.26 : 2,475.50 = 1,047.80 : x
  2. Step 2: Convert to fraction form
    1,794.26/2,475.50 = 1,047.80/x
  3. Step 3: Cross multiply
    1,794.26x = 2,475.50 × 1,047.80
  4. Step 4: Simplify right side
    1,794.26x = 2,593,828.90
  5. Step 5: Solve for x
    x = 2,593,828.90/1,794.26
  6. Step 6: Final answer
    x = 1,445.63

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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.