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Finding the Fourth Proportional to 2,406.44, 3,320.94 and 1,411.88

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Solution

The fourth proportional to 2,406.44, 3,320.94 and 1,411.88 is: 1,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.44 : 3,320.94 = 1,411.88 : x
  2. Step 2: Convert to fraction form
    2,406.44/3,320.94 = 1,411.88/x
  3. Step 3: Cross multiply
    2,406.44x = 3,320.94 × 1,411.88
  4. Step 4: Simplify right side
    2,406.44x = 4,688,768.77
  5. Step 5: Solve for x
    x = 4,688,768.77/2,406.44
  6. Step 6: Final answer
    x = 1,948.43

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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.