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Finding the Fourth Proportional to 2,501.57, 3,751.92 and 746.53

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Solution

The fourth proportional to 2,501.57, 3,751.92 and 746.53 is: 1,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.57 : 3,751.92 = 746.53 : x
  2. Step 2: Convert to fraction form
    2,501.57/3,751.92 = 746.53/x
  3. Step 3: Cross multiply
    2,501.57x = 3,751.92 × 746.53
  4. Step 4: Simplify right side
    2,501.57x = 2,800,911.46
  5. Step 5: Solve for x
    x = 2,800,911.46/2,501.57
  6. Step 6: Final answer
    x = 1,119.66

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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.