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Finding the Fourth Proportional to 2,652.30, 3,658.62 and 1,812.60

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Solution

The fourth proportional to 2,652.30, 3,658.62 and 1,812.60 is: 2,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.30 : 3,658.62 = 1,812.60 : x
  2. Step 2: Convert to fraction form
    2,652.30/3,658.62 = 1,812.60/x
  3. Step 3: Cross multiply
    2,652.30x = 3,658.62 × 1,812.60
  4. Step 4: Simplify right side
    2,652.30x = 6,631,614.61
  5. Step 5: Solve for x
    x = 6,631,614.61/2,652.30
  6. Step 6: Final answer
    x = 2,500.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.