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Finding the Fourth Proportional to 2,391.40, 3,609.56 and 2,391.40

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Solution

The fourth proportional to 2,391.40, 3,609.56 and 2,391.40 is: 3,609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.40 : 3,609.56 = 2,391.40 : x
  2. Step 2: Convert to fraction form
    2,391.40/3,609.56 = 2,391.40/x
  3. Step 3: Cross multiply
    2,391.40x = 3,609.56 × 2,391.40
  4. Step 4: Simplify right side
    2,391.40x = 8,631,901.78
  5. Step 5: Solve for x
    x = 8,631,901.78/2,391.40
  6. Step 6: Final answer
    x = 3,609.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.