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Finding the Fourth Proportional to 2,507.76, 3,460.73 and 1,512.86

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Solution

The fourth proportional to 2,507.76, 3,460.73 and 1,512.86 is: 2,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.76 : 3,460.73 = 1,512.86 : x
  2. Step 2: Convert to fraction form
    2,507.76/3,460.73 = 1,512.86/x
  3. Step 3: Cross multiply
    2,507.76x = 3,460.73 × 1,512.86
  4. Step 4: Simplify right side
    2,507.76x = 5,235,575.12
  5. Step 5: Solve for x
    x = 5,235,575.12/2,507.76
  6. Step 6: Final answer
    x = 2,087.75

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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.