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Finding the Fourth Proportional to 2,412.53, 3,598.44 and 2,200.31

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Solution

The fourth proportional to 2,412.53, 3,598.44 and 2,200.31 is: 3,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.53 : 3,598.44 = 2,200.31 : x
  2. Step 2: Convert to fraction form
    2,412.53/3,598.44 = 2,200.31/x
  3. Step 3: Cross multiply
    2,412.53x = 3,598.44 × 2,200.31
  4. Step 4: Simplify right side
    2,412.53x = 7,917,665.52
  5. Step 5: Solve for x
    x = 7,917,665.52/2,412.53
  6. Step 6: Final answer
    x = 3,281.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.