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Finding the Fourth Proportional to 2,513.06, 3,762.30 and 2,027.06

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Solution

The fourth proportional to 2,513.06, 3,762.30 and 2,027.06 is: 3,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.06 : 3,762.30 = 2,027.06 : x
  2. Step 2: Convert to fraction form
    2,513.06/3,762.30 = 2,027.06/x
  3. Step 3: Cross multiply
    2,513.06x = 3,762.30 × 2,027.06
  4. Step 4: Simplify right side
    2,513.06x = 7,626,407.84
  5. Step 5: Solve for x
    x = 7,626,407.84/2,513.06
  6. Step 6: Final answer
    x = 3,034.71

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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.