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Finding the Fourth Proportional to 2,792.46, 3,852.83 and 1,799

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Solution

The fourth proportional to 2,792.46, 3,852.83 and 1,799 is: 2,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.46 : 3,852.83 = 1,799 : x
  2. Step 2: Convert to fraction form
    2,792.46/3,852.83 = 1,799/x
  3. Step 3: Cross multiply
    2,792.46x = 3,852.83 × 1,799
  4. Step 4: Simplify right side
    2,792.46x = 6,931,241.17
  5. Step 5: Solve for x
    x = 6,931,241.17/2,792.46
  6. Step 6: Final answer
    x = 2,482.13

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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.