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Finding the Fourth Proportional to 2,528.60, 3,793.10 and 797.36

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Solution

The fourth proportional to 2,528.60, 3,793.10 and 797.36 is: 1,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.60 : 3,793.10 = 797.36 : x
  2. Step 2: Convert to fraction form
    2,528.60/3,793.10 = 797.36/x
  3. Step 3: Cross multiply
    2,528.60x = 3,793.10 × 797.36
  4. Step 4: Simplify right side
    2,528.60x = 3,024,466.22
  5. Step 5: Solve for x
    x = 3,024,466.22/2,528.60
  6. Step 6: Final answer
    x = 1,196.10

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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.