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Finding the Fourth Proportional to 2,670.26, 4,003.50 and 1,025.42

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Solution

The fourth proportional to 2,670.26, 4,003.50 and 1,025.42 is: 1,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.26 : 4,003.50 = 1,025.42 : x
  2. Step 2: Convert to fraction form
    2,670.26/4,003.50 = 1,025.42/x
  3. Step 3: Cross multiply
    2,670.26x = 4,003.50 × 1,025.42
  4. Step 4: Simplify right side
    2,670.26x = 4,105,268.97
  5. Step 5: Solve for x
    x = 4,105,268.97/2,670.26
  6. Step 6: Final answer
    x = 1,537.40

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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.