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Finding the Fourth Proportional to 3,084.84, 4,254.84 and 2,411.28

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Solution

The fourth proportional to 3,084.84, 4,254.84 and 2,411.28 is: 3,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.84 : 4,254.84 = 2,411.28 : x
  2. Step 2: Convert to fraction form
    3,084.84/4,254.84 = 2,411.28/x
  3. Step 3: Cross multiply
    3,084.84x = 4,254.84 × 2,411.28
  4. Step 4: Simplify right side
    3,084.84x = 10,259,610.60
  5. Step 5: Solve for x
    x = 10,259,610.60/3,084.84
  6. Step 6: Final answer
    x = 3,325.82

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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.