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Finding the Fourth Proportional to 2,882.88, 3,978.27 and 1,624.01

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Solution

The fourth proportional to 2,882.88, 3,978.27 and 1,624.01 is: 2,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.88 : 3,978.27 = 1,624.01 : x
  2. Step 2: Convert to fraction form
    2,882.88/3,978.27 = 1,624.01/x
  3. Step 3: Cross multiply
    2,882.88x = 3,978.27 × 1,624.01
  4. Step 4: Simplify right side
    2,882.88x = 6,460,730.37
  5. Step 5: Solve for x
    x = 6,460,730.37/2,882.88
  6. Step 6: Final answer
    x = 2,241.07

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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.