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Finding the Fourth Proportional to 2,762.80, 4,145.55 and 1,301.70

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Solution

The fourth proportional to 2,762.80, 4,145.55 and 1,301.70 is: 1,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.80 : 4,145.55 = 1,301.70 : x
  2. Step 2: Convert to fraction form
    2,762.80/4,145.55 = 1,301.70/x
  3. Step 3: Cross multiply
    2,762.80x = 4,145.55 × 1,301.70
  4. Step 4: Simplify right side
    2,762.80x = 5,396,262.44
  5. Step 5: Solve for x
    x = 5,396,262.44/2,762.80
  6. Step 6: Final answer
    x = 1,953.19

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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.