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Finding the Fourth Proportional to 2,507.44, 3,459.75 and 1,512.76

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Solution

The fourth proportional to 2,507.44, 3,459.75 and 1,512.76 is: 2,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.44 : 3,459.75 = 1,512.76 : x
  2. Step 2: Convert to fraction form
    2,507.44/3,459.75 = 1,512.76/x
  3. Step 3: Cross multiply
    2,507.44x = 3,459.75 × 1,512.76
  4. Step 4: Simplify right side
    2,507.44x = 5,233,771.41
  5. Step 5: Solve for x
    x = 5,233,771.41/2,507.44
  6. Step 6: Final answer
    x = 2,087.30

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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.