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Finding the Fourth Proportional to 2,510.48, 3,765.69 and 755.47

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Solution

The fourth proportional to 2,510.48, 3,765.69 and 755.47 is: 1,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.48 : 3,765.69 = 755.47 : x
  2. Step 2: Convert to fraction form
    2,510.48/3,765.69 = 755.47/x
  3. Step 3: Cross multiply
    2,510.48x = 3,765.69 × 755.47
  4. Step 4: Simplify right side
    2,510.48x = 2,844,867.48
  5. Step 5: Solve for x
    x = 2,844,867.48/2,510.48
  6. Step 6: Final answer
    x = 1,133.20

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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.