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Finding the Fourth Proportional to 2,562.48, 3,845.34 and 1,468.98

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Solution

The fourth proportional to 2,562.48, 3,845.34 and 1,468.98 is: 2,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.48 : 3,845.34 = 1,468.98 : x
  2. Step 2: Convert to fraction form
    2,562.48/3,845.34 = 1,468.98/x
  3. Step 3: Cross multiply
    2,562.48x = 3,845.34 × 1,468.98
  4. Step 4: Simplify right side
    2,562.48x = 5,648,727.55
  5. Step 5: Solve for x
    x = 5,648,727.55/2,562.48
  6. Step 6: Final answer
    x = 2,204.40

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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.