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Finding the Fourth Proportional to 2,308.34, 3,456.03 and 1,914.68

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Solution

The fourth proportional to 2,308.34, 3,456.03 and 1,914.68 is: 2,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.34 : 3,456.03 = 1,914.68 : x
  2. Step 2: Convert to fraction form
    2,308.34/3,456.03 = 1,914.68/x
  3. Step 3: Cross multiply
    2,308.34x = 3,456.03 × 1,914.68
  4. Step 4: Simplify right side
    2,308.34x = 6,617,191.52
  5. Step 5: Solve for x
    x = 6,617,191.52/2,308.34
  6. Step 6: Final answer
    x = 2,866.65

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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.