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Finding the Fourth Proportional to 3,287.91, 4,538.54 and 2,029.17

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Solution

The fourth proportional to 3,287.91, 4,538.54 and 2,029.17 is: 2,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.91 : 4,538.54 = 2,029.17 : x
  2. Step 2: Convert to fraction form
    3,287.91/4,538.54 = 2,029.17/x
  3. Step 3: Cross multiply
    3,287.91x = 4,538.54 × 2,029.17
  4. Step 4: Simplify right side
    3,287.91x = 9,209,459.07
  5. Step 5: Solve for x
    x = 9,209,459.07/3,287.91
  6. Step 6: Final answer
    x = 2,801.01

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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.