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Finding the Fourth Proportional to 2,792.84, 3,853.44 and 1,581.55

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Solution

The fourth proportional to 2,792.84, 3,853.44 and 1,581.55 is: 2,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.84 : 3,853.44 = 1,581.55 : x
  2. Step 2: Convert to fraction form
    2,792.84/3,853.44 = 1,581.55/x
  3. Step 3: Cross multiply
    2,792.84x = 3,853.44 × 1,581.55
  4. Step 4: Simplify right side
    2,792.84x = 6,094,393.95
  5. Step 5: Solve for x
    x = 6,094,393.95/2,792.84
  6. Step 6: Final answer
    x = 2,182.15

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