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Finding the Fourth Proportional to 2,914.84, 4,021.50 and 2,390.68

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Solution

The fourth proportional to 2,914.84, 4,021.50 and 2,390.68 is: 3,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.84 : 4,021.50 = 2,390.68 : x
  2. Step 2: Convert to fraction form
    2,914.84/4,021.50 = 2,390.68/x
  3. Step 3: Cross multiply
    2,914.84x = 4,021.50 × 2,390.68
  4. Step 4: Simplify right side
    2,914.84x = 9,614,119.62
  5. Step 5: Solve for x
    x = 9,614,119.62/2,914.84
  6. Step 6: Final answer
    x = 3,298.34

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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.