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Finding the Fourth Proportional to 2,540.75, 3,507.37 and 1,492.88

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Solution

The fourth proportional to 2,540.75, 3,507.37 and 1,492.88 is: 2,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.75 : 3,507.37 = 1,492.88 : x
  2. Step 2: Convert to fraction form
    2,540.75/3,507.37 = 1,492.88/x
  3. Step 3: Cross multiply
    2,540.75x = 3,507.37 × 1,492.88
  4. Step 4: Simplify right side
    2,540.75x = 5,236,061.26
  5. Step 5: Solve for x
    x = 5,236,061.26/2,540.75
  6. Step 6: Final answer
    x = 2,060.84

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