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Finding the Fourth Proportional to 2,507.80, 3,753.42 and 2,328.52

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Solution

The fourth proportional to 2,507.80, 3,753.42 and 2,328.52 is: 3,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.80 : 3,753.42 = 2,328.52 : x
  2. Step 2: Convert to fraction form
    2,507.80/3,753.42 = 2,328.52/x
  3. Step 3: Cross multiply
    2,507.80x = 3,753.42 × 2,328.52
  4. Step 4: Simplify right side
    2,507.80x = 8,739,913.54
  5. Step 5: Solve for x
    x = 8,739,913.54/2,507.80
  6. Step 6: Final answer
    x = 3,485.09

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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.