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Finding the Fourth Proportional to 2,457.06, 3,685.20 and 813.60

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Solution

The fourth proportional to 2,457.06, 3,685.20 and 813.60 is: 1,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.06 : 3,685.20 = 813.60 : x
  2. Step 2: Convert to fraction form
    2,457.06/3,685.20 = 813.60/x
  3. Step 3: Cross multiply
    2,457.06x = 3,685.20 × 813.60
  4. Step 4: Simplify right side
    2,457.06x = 2,998,278.72
  5. Step 5: Solve for x
    x = 2,998,278.72/2,457.06
  6. Step 6: Final answer
    x = 1,220.27

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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.