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Finding the Fourth Proportional to 2,457.14, 3,685.71 and 813.25

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Solution

The fourth proportional to 2,457.14, 3,685.71 and 813.25 is: 1,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.14 : 3,685.71 = 813.25 : x
  2. Step 2: Convert to fraction form
    2,457.14/3,685.71 = 813.25/x
  3. Step 3: Cross multiply
    2,457.14x = 3,685.71 × 813.25
  4. Step 4: Simplify right side
    2,457.14x = 2,997,403.66
  5. Step 5: Solve for x
    x = 2,997,403.66/2,457.14
  6. Step 6: Final answer
    x = 1,219.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.