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Finding the Fourth Proportional to 2,324, 3,207.02 and 1,329.42

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Solution

The fourth proportional to 2,324, 3,207.02 and 1,329.42 is: 1,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324 : 3,207.02 = 1,329.42 : x
  2. Step 2: Convert to fraction form
    2,324/3,207.02 = 1,329.42/x
  3. Step 3: Cross multiply
    2,324x = 3,207.02 × 1,329.42
  4. Step 4: Simplify right side
    2,324x = 4,263,476.53
  5. Step 5: Solve for x
    x = 4,263,476.53/2,324
  6. Step 6: Final answer
    x = 1,834.54

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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.