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Finding the Fourth Proportional to 3,084.10, 4,617.06 and 1,985.20

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Solution

The fourth proportional to 3,084.10, 4,617.06 and 1,985.20 is: 2,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.10 : 4,617.06 = 1,985.20 : x
  2. Step 2: Convert to fraction form
    3,084.10/4,617.06 = 1,985.20/x
  3. Step 3: Cross multiply
    3,084.10x = 4,617.06 × 1,985.20
  4. Step 4: Simplify right side
    3,084.10x = 9,165,787.51
  5. Step 5: Solve for x
    x = 9,165,787.51/3,084.10
  6. Step 6: Final answer
    x = 2,971.95

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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.