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Finding the Fourth Proportional to 2,762.00, 3,809.86 and 1,642.17

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Solution

The fourth proportional to 2,762.00, 3,809.86 and 1,642.17 is: 2,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.00 : 3,809.86 = 1,642.17 : x
  2. Step 2: Convert to fraction form
    2,762.00/3,809.86 = 1,642.17/x
  3. Step 3: Cross multiply
    2,762.00x = 3,809.86 × 1,642.17
  4. Step 4: Simplify right side
    2,762.00x = 6,256,433.69
  5. Step 5: Solve for x
    x = 6,256,433.69/2,762.00
  6. Step 6: Final answer
    x = 2,265.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.