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Finding the Fourth Proportional to 3,207.65, 4,426.08 and 1,948.05

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Solution

The fourth proportional to 3,207.65, 4,426.08 and 1,948.05 is: 2,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.65 : 4,426.08 = 1,948.05 : x
  2. Step 2: Convert to fraction form
    3,207.65/4,426.08 = 1,948.05/x
  3. Step 3: Cross multiply
    3,207.65x = 4,426.08 × 1,948.05
  4. Step 4: Simplify right side
    3,207.65x = 8,622,193.27
  5. Step 5: Solve for x
    x = 8,622,193.27/3,207.65
  6. Step 6: Final answer
    x = 2,688.01

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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.