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Finding the Fourth Proportional to 2,406.81, 3,320.46 and 1,411.72

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Solution

The fourth proportional to 2,406.81, 3,320.46 and 1,411.72 is: 1,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.81 : 3,320.46 = 1,411.72 : x
  2. Step 2: Convert to fraction form
    2,406.81/3,320.46 = 1,411.72/x
  3. Step 3: Cross multiply
    2,406.81x = 3,320.46 × 1,411.72
  4. Step 4: Simplify right side
    2,406.81x = 4,687,559.79
  5. Step 5: Solve for x
    x = 4,687,559.79/2,406.81
  6. Step 6: Final answer
    x = 1,947.62

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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.