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Finding the Fourth Proportional to 2,507.49, 3,762.51 and 1,027.79

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Solution

The fourth proportional to 2,507.49, 3,762.51 and 1,027.79 is: 1,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.49 : 3,762.51 = 1,027.79 : x
  2. Step 2: Convert to fraction form
    2,507.49/3,762.51 = 1,027.79/x
  3. Step 3: Cross multiply
    2,507.49x = 3,762.51 × 1,027.79
  4. Step 4: Simplify right side
    2,507.49x = 3,867,051.34
  5. Step 5: Solve for x
    x = 3,867,051.34/2,507.49
  6. Step 6: Final answer
    x = 1,542.20

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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.