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Finding the Fourth Proportional to 2,096.95, 3,142.98 and 1,544.02

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Solution

The fourth proportional to 2,096.95, 3,142.98 and 1,544.02 is: 2,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.95 : 3,142.98 = 1,544.02 : x
  2. Step 2: Convert to fraction form
    2,096.95/3,142.98 = 1,544.02/x
  3. Step 3: Cross multiply
    2,096.95x = 3,142.98 × 1,544.02
  4. Step 4: Simplify right side
    2,096.95x = 4,852,823.98
  5. Step 5: Solve for x
    x = 4,852,823.98/2,096.95
  6. Step 6: Final answer
    x = 2,314.23

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