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Finding the Fourth Proportional to 2,501.18, 3,752.27 and 746.21

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Solution

The fourth proportional to 2,501.18, 3,752.27 and 746.21 is: 1,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.18 : 3,752.27 = 746.21 : x
  2. Step 2: Convert to fraction form
    2,501.18/3,752.27 = 746.21/x
  3. Step 3: Cross multiply
    2,501.18x = 3,752.27 × 746.21
  4. Step 4: Simplify right side
    2,501.18x = 2,799,958.90
  5. Step 5: Solve for x
    x = 2,799,958.90/2,501.18
  6. Step 6: Final answer
    x = 1,119.46

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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.