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Finding the Fourth Proportional to 1,790.96, 2,469.20 and 1,230.40

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Solution

The fourth proportional to 1,790.96, 2,469.20 and 1,230.40 is: 1,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.96 : 2,469.20 = 1,230.40 : x
  2. Step 2: Convert to fraction form
    1,790.96/2,469.20 = 1,230.40/x
  3. Step 3: Cross multiply
    1,790.96x = 2,469.20 × 1,230.40
  4. Step 4: Simplify right side
    1,790.96x = 3,038,103.68
  5. Step 5: Solve for x
    x = 3,038,103.68/1,790.96
  6. Step 6: Final answer
    x = 1,696.35

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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.