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Finding the Fourth Proportional to 2,308.14, 3,459.84 and 919.60

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Solution

The fourth proportional to 2,308.14, 3,459.84 and 919.60 is: 1,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.14 : 3,459.84 = 919.60 : x
  2. Step 2: Convert to fraction form
    2,308.14/3,459.84 = 919.60/x
  3. Step 3: Cross multiply
    2,308.14x = 3,459.84 × 919.60
  4. Step 4: Simplify right side
    2,308.14x = 3,181,668.86
  5. Step 5: Solve for x
    x = 3,181,668.86/2,308.14
  6. Step 6: Final answer
    x = 1,378.46

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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.