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Finding the Fourth Proportional to 2,458.02, 3,685.59 and 814.13

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Solution

The fourth proportional to 2,458.02, 3,685.59 and 814.13 is: 1,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.02 : 3,685.59 = 814.13 : x
  2. Step 2: Convert to fraction form
    2,458.02/3,685.59 = 814.13/x
  3. Step 3: Cross multiply
    2,458.02x = 3,685.59 × 814.13
  4. Step 4: Simplify right side
    2,458.02x = 3,000,530.96
  5. Step 5: Solve for x
    x = 3,000,530.96/2,458.02
  6. Step 6: Final answer
    x = 1,220.71

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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.