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Finding the Fourth Proportional to 2,501.56, 3,749.13 and 940.15

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Solution

The fourth proportional to 2,501.56, 3,749.13 and 940.15 is: 1,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.56 : 3,749.13 = 940.15 : x
  2. Step 2: Convert to fraction form
    2,501.56/3,749.13 = 940.15/x
  3. Step 3: Cross multiply
    2,501.56x = 3,749.13 × 940.15
  4. Step 4: Simplify right side
    2,501.56x = 3,524,744.57
  5. Step 5: Solve for x
    x = 3,524,744.57/2,501.56
  6. Step 6: Final answer
    x = 1,409.02

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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.