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Finding the Fourth Proportional to 3,245.00, 4,864.32 and 1,762.88

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Solution

The fourth proportional to 3,245.00, 4,864.32 and 1,762.88 is: 2,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.00 : 4,864.32 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    3,245.00/4,864.32 = 1,762.88/x
  3. Step 3: Cross multiply
    3,245.00x = 4,864.32 × 1,762.88
  4. Step 4: Simplify right side
    3,245.00x = 8,575,188.12
  5. Step 5: Solve for x
    x = 8,575,188.12/3,245.00
  6. Step 6: Final answer
    x = 2,642.59

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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.