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Finding the Fourth Proportional to 2,400.00, 3,578.07 and 2,339.28

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Solution

The fourth proportional to 2,400.00, 3,578.07 and 2,339.28 is: 3,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.00 : 3,578.07 = 2,339.28 : x
  2. Step 2: Convert to fraction form
    2,400.00/3,578.07 = 2,339.28/x
  3. Step 3: Cross multiply
    2,400.00x = 3,578.07 × 2,339.28
  4. Step 4: Simplify right side
    2,400.00x = 8,370,116.36
  5. Step 5: Solve for x
    x = 8,370,116.36/2,400.00
  6. Step 6: Final answer
    x = 3,487.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.