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Finding the Fourth Proportional to 2,312.21, 3,466.02 and 1,998.65

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Solution

The fourth proportional to 2,312.21, 3,466.02 and 1,998.65 is: 2,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.21 : 3,466.02 = 1,998.65 : x
  2. Step 2: Convert to fraction form
    2,312.21/3,466.02 = 1,998.65/x
  3. Step 3: Cross multiply
    2,312.21x = 3,466.02 × 1,998.65
  4. Step 4: Simplify right side
    2,312.21x = 6,927,360.87
  5. Step 5: Solve for x
    x = 6,927,360.87/2,312.21
  6. Step 6: Final answer
    x = 2,995.99

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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.