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Finding the Fourth Proportional to 2,388.88, 3,583.25 and 657.49

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Solution

The fourth proportional to 2,388.88, 3,583.25 and 657.49 is: 986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.88 : 3,583.25 = 657.49 : x
  2. Step 2: Convert to fraction form
    2,388.88/3,583.25 = 657.49/x
  3. Step 3: Cross multiply
    2,388.88x = 3,583.25 × 657.49
  4. Step 4: Simplify right side
    2,388.88x = 2,355,947.76
  5. Step 5: Solve for x
    x = 2,355,947.76/2,388.88
  6. Step 6: Final answer
    x = 986.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.