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Finding the Fourth Proportional to 2,493.59, 3,740.35 and 644.55

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Solution

The fourth proportional to 2,493.59, 3,740.35 and 644.55 is: 966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.59 : 3,740.35 = 644.55 : x
  2. Step 2: Convert to fraction form
    2,493.59/3,740.35 = 644.55/x
  3. Step 3: Cross multiply
    2,493.59x = 3,740.35 × 644.55
  4. Step 4: Simplify right side
    2,493.59x = 2,410,842.59
  5. Step 5: Solve for x
    x = 2,410,842.59/2,493.59
  6. Step 6: Final answer
    x = 966.82

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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.