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Finding the Fourth Proportional to 2,746.52, 3,790.20 and 1,504.52

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Solution

The fourth proportional to 2,746.52, 3,790.20 and 1,504.52 is: 2,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.52 : 3,790.20 = 1,504.52 : x
  2. Step 2: Convert to fraction form
    2,746.52/3,790.20 = 1,504.52/x
  3. Step 3: Cross multiply
    2,746.52x = 3,790.20 × 1,504.52
  4. Step 4: Simplify right side
    2,746.52x = 5,702,431.70
  5. Step 5: Solve for x
    x = 5,702,431.70/2,746.52
  6. Step 6: Final answer
    x = 2,076.24

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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.