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Finding the Fourth Proportional to 1,441.52, 2,162.10 and 619.80

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Solution

The fourth proportional to 1,441.52, 2,162.10 and 619.80 is: 929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.52 : 2,162.10 = 619.80 : x
  2. Step 2: Convert to fraction form
    1,441.52/2,162.10 = 619.80/x
  3. Step 3: Cross multiply
    1,441.52x = 2,162.10 × 619.80
  4. Step 4: Simplify right side
    1,441.52x = 1,340,069.58
  5. Step 5: Solve for x
    x = 1,340,069.58/1,441.52
  6. Step 6: Final answer
    x = 929.62

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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.