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Finding the Fourth Proportional to 2,308.47, 3,457.80 and 2,143.23

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Solution

The fourth proportional to 2,308.47, 3,457.80 and 2,143.23 is: 3,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.47 : 3,457.80 = 2,143.23 : x
  2. Step 2: Convert to fraction form
    2,308.47/3,457.80 = 2,143.23/x
  3. Step 3: Cross multiply
    2,308.47x = 3,457.80 × 2,143.23
  4. Step 4: Simplify right side
    2,308.47x = 7,410,860.69
  5. Step 5: Solve for x
    x = 7,410,860.69/2,308.47
  6. Step 6: Final answer
    x = 3,210.29

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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.