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Finding the Fourth Proportional to 2,540.64, 3,810.39 and 1,153.08

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Solution

The fourth proportional to 2,540.64, 3,810.39 and 1,153.08 is: 1,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.64 : 3,810.39 = 1,153.08 : x
  2. Step 2: Convert to fraction form
    2,540.64/3,810.39 = 1,153.08/x
  3. Step 3: Cross multiply
    2,540.64x = 3,810.39 × 1,153.08
  4. Step 4: Simplify right side
    2,540.64x = 4,393,684.50
  5. Step 5: Solve for x
    x = 4,393,684.50/2,540.64
  6. Step 6: Final answer
    x = 1,729.36

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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.