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Finding the Fourth Proportional to 2,821.95, 4,199.71 and 2,728.53

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Solution

The fourth proportional to 2,821.95, 4,199.71 and 2,728.53 is: 4,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.95 : 4,199.71 = 2,728.53 : x
  2. Step 2: Convert to fraction form
    2,821.95/4,199.71 = 2,728.53/x
  3. Step 3: Cross multiply
    2,821.95x = 4,199.71 × 2,728.53
  4. Step 4: Simplify right side
    2,821.95x = 11,459,034.73
  5. Step 5: Solve for x
    x = 11,459,034.73/2,821.95
  6. Step 6: Final answer
    x = 4,060.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.