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Finding the Fourth Proportional to 2,141, 3,210.06 and 986.12

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Solution

The fourth proportional to 2,141, 3,210.06 and 986.12 is: 1,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141 : 3,210.06 = 986.12 : x
  2. Step 2: Convert to fraction form
    2,141/3,210.06 = 986.12/x
  3. Step 3: Cross multiply
    2,141x = 3,210.06 × 986.12
  4. Step 4: Simplify right side
    2,141x = 3,165,504.37
  5. Step 5: Solve for x
    x = 3,165,504.37/2,141
  6. Step 6: Final answer
    x = 1,478.52

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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.