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Finding the Fourth Proportional to 2,676.04, 3,690.12 and 1,792.04

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Solution

The fourth proportional to 2,676.04, 3,690.12 and 1,792.04 is: 2,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.04 : 3,690.12 = 1,792.04 : x
  2. Step 2: Convert to fraction form
    2,676.04/3,690.12 = 1,792.04/x
  3. Step 3: Cross multiply
    2,676.04x = 3,690.12 × 1,792.04
  4. Step 4: Simplify right side
    2,676.04x = 6,612,842.64
  5. Step 5: Solve for x
    x = 6,612,842.64/2,676.04
  6. Step 6: Final answer
    x = 2,471.13

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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.