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Finding the Fourth Proportional to 2,024, 2,793.12 and 1,325.60

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Solution

The fourth proportional to 2,024, 2,793.12 and 1,325.60 is: 1,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 2,793.12 = 1,325.60 : x
  2. Step 2: Convert to fraction form
    2,024/2,793.12 = 1,325.60/x
  3. Step 3: Cross multiply
    2,024x = 2,793.12 × 1,325.60
  4. Step 4: Simplify right side
    2,024x = 3,702,559.87
  5. Step 5: Solve for x
    x = 3,702,559.87/2,024
  6. Step 6: Final answer
    x = 1,829.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.