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Finding the Fourth Proportional to 2,507.02, 3,760.22 and 1,275.35

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Solution

The fourth proportional to 2,507.02, 3,760.22 and 1,275.35 is: 1,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.02 : 3,760.22 = 1,275.35 : x
  2. Step 2: Convert to fraction form
    2,507.02/3,760.22 = 1,275.35/x
  3. Step 3: Cross multiply
    2,507.02x = 3,760.22 × 1,275.35
  4. Step 4: Simplify right side
    2,507.02x = 4,795,580.96
  5. Step 5: Solve for x
    x = 4,795,580.96/2,507.02
  6. Step 6: Final answer
    x = 1,912.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.