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Finding the Fourth Proportional to 2,645.60, 3,977.40 and 2,162.16

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Solution

The fourth proportional to 2,645.60, 3,977.40 and 2,162.16 is: 3,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.60 : 3,977.40 = 2,162.16 : x
  2. Step 2: Convert to fraction form
    2,645.60/3,977.40 = 2,162.16/x
  3. Step 3: Cross multiply
    2,645.60x = 3,977.40 × 2,162.16
  4. Step 4: Simplify right side
    2,645.60x = 8,599,775.18
  5. Step 5: Solve for x
    x = 8,599,775.18/2,645.60
  6. Step 6: Final answer
    x = 3,250.60

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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.