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Finding the Fourth Proportional to 1,624.30, 2,240.68 and 1,230.64

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Solution

The fourth proportional to 1,624.30, 2,240.68 and 1,230.64 is: 1,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.30 : 2,240.68 = 1,230.64 : x
  2. Step 2: Convert to fraction form
    1,624.30/2,240.68 = 1,230.64/x
  3. Step 3: Cross multiply
    1,624.30x = 2,240.68 × 1,230.64
  4. Step 4: Simplify right side
    1,624.30x = 2,757,470.44
  5. Step 5: Solve for x
    x = 2,757,470.44/1,624.30
  6. Step 6: Final answer
    x = 1,697.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.