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Finding the Fourth Proportional to 4,230.80, 6,343.68 and 1,762.64

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Solution

The fourth proportional to 4,230.80, 6,343.68 and 1,762.64 is: 2,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.80 : 6,343.68 = 1,762.64 : x
  2. Step 2: Convert to fraction form
    4,230.80/6,343.68 = 1,762.64/x
  3. Step 3: Cross multiply
    4,230.80x = 6,343.68 × 1,762.64
  4. Step 4: Simplify right side
    4,230.80x = 11,181,624.12
  5. Step 5: Solve for x
    x = 11,181,624.12/4,230.80
  6. Step 6: Final answer
    x = 2,642.91

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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.