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Finding the Fourth Proportional to 1,861.84, 2,792.02 and 821.10

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Solution

The fourth proportional to 1,861.84, 2,792.02 and 821.10 is: 1,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.84 : 2,792.02 = 821.10 : x
  2. Step 2: Convert to fraction form
    1,861.84/2,792.02 = 821.10/x
  3. Step 3: Cross multiply
    1,861.84x = 2,792.02 × 821.10
  4. Step 4: Simplify right side
    1,861.84x = 2,292,523.52
  5. Step 5: Solve for x
    x = 2,292,523.52/1,861.84
  6. Step 6: Final answer
    x = 1,231.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.