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Finding the Fourth Proportional to 3,270.98, 4,510.86 and 2,090

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Solution

The fourth proportional to 3,270.98, 4,510.86 and 2,090 is: 2,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.98 : 4,510.86 = 2,090 : x
  2. Step 2: Convert to fraction form
    3,270.98/4,510.86 = 2,090/x
  3. Step 3: Cross multiply
    3,270.98x = 4,510.86 × 2,090
  4. Step 4: Simplify right side
    3,270.98x = 9,427,697.40
  5. Step 5: Solve for x
    x = 9,427,697.40/3,270.98
  6. Step 6: Final answer
    x = 2,882.22

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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.