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Finding the Fourth Proportional to 2,411.84, 3,323.13 and 1,624.52

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Solution

The fourth proportional to 2,411.84, 3,323.13 and 1,624.52 is: 2,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.84 : 3,323.13 = 1,624.52 : x
  2. Step 2: Convert to fraction form
    2,411.84/3,323.13 = 1,624.52/x
  3. Step 3: Cross multiply
    2,411.84x = 3,323.13 × 1,624.52
  4. Step 4: Simplify right side
    2,411.84x = 5,398,474.53
  5. Step 5: Solve for x
    x = 5,398,474.53/2,411.84
  6. Step 6: Final answer
    x = 2,238.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.