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Finding the Fourth Proportional to 2,483.02, 3,725.82 and 1,002.60

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Solution

The fourth proportional to 2,483.02, 3,725.82 and 1,002.60 is: 1,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.02 : 3,725.82 = 1,002.60 : x
  2. Step 2: Convert to fraction form
    2,483.02/3,725.82 = 1,002.60/x
  3. Step 3: Cross multiply
    2,483.02x = 3,725.82 × 1,002.60
  4. Step 4: Simplify right side
    2,483.02x = 3,735,514.09
  5. Step 5: Solve for x
    x = 3,735,514.09/2,483.02
  6. Step 6: Final answer
    x = 1,504.43

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