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Finding the Fourth Proportional to 2,846.95, 4,270.52 and 998.01

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Solution

The fourth proportional to 2,846.95, 4,270.52 and 998.01 is: 1,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.95 : 4,270.52 = 998.01 : x
  2. Step 2: Convert to fraction form
    2,846.95/4,270.52 = 998.01/x
  3. Step 3: Cross multiply
    2,846.95x = 4,270.52 × 998.01
  4. Step 4: Simplify right side
    2,846.95x = 4,262,024.16
  5. Step 5: Solve for x
    x = 4,262,024.16/2,846.95
  6. Step 6: Final answer
    x = 1,497.05

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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.