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Finding the Fourth Proportional to 2,322.40, 3,483.60 and 1,627.60

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Solution

The fourth proportional to 2,322.40, 3,483.60 and 1,627.60 is: 2,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.40 : 3,483.60 = 1,627.60 : x
  2. Step 2: Convert to fraction form
    2,322.40/3,483.60 = 1,627.60/x
  3. Step 3: Cross multiply
    2,322.40x = 3,483.60 × 1,627.60
  4. Step 4: Simplify right side
    2,322.40x = 5,669,907.36
  5. Step 5: Solve for x
    x = 5,669,907.36/2,322.40
  6. Step 6: Final answer
    x = 2,441.40

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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.