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Finding the Fourth Proportional to 1,796.30, 2,478.92 and 1,347.38

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Solution

The fourth proportional to 1,796.30, 2,478.92 and 1,347.38 is: 1,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.30 : 2,478.92 = 1,347.38 : x
  2. Step 2: Convert to fraction form
    1,796.30/2,478.92 = 1,347.38/x
  3. Step 3: Cross multiply
    1,796.30x = 2,478.92 × 1,347.38
  4. Step 4: Simplify right side
    1,796.30x = 3,340,047.23
  5. Step 5: Solve for x
    x = 3,340,047.23/1,796.30
  6. Step 6: Final answer
    x = 1,859.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.