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Finding the Fourth Proportional to 2,462.55, 3,698.23 and 2,363.45

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Solution

The fourth proportional to 2,462.55, 3,698.23 and 2,363.45 is: 3,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.55 : 3,698.23 = 2,363.45 : x
  2. Step 2: Convert to fraction form
    2,462.55/3,698.23 = 2,363.45/x
  3. Step 3: Cross multiply
    2,462.55x = 3,698.23 × 2,363.45
  4. Step 4: Simplify right side
    2,462.55x = 8,740,569.88
  5. Step 5: Solve for x
    x = 8,740,569.88/2,462.55
  6. Step 6: Final answer
    x = 3,549.41

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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.