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Finding the Fourth Proportional to 2,762.45, 4,144.49 and 1,301.75

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Solution

The fourth proportional to 2,762.45, 4,144.49 and 1,301.75 is: 1,953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.45 : 4,144.49 = 1,301.75 : x
  2. Step 2: Convert to fraction form
    2,762.45/4,144.49 = 1,301.75/x
  3. Step 3: Cross multiply
    2,762.45x = 4,144.49 × 1,301.75
  4. Step 4: Simplify right side
    2,762.45x = 5,395,089.86
  5. Step 5: Solve for x
    x = 5,395,089.86/2,762.45
  6. Step 6: Final answer
    x = 1,953.01

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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.