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Finding the Fourth Proportional to 1,218.65, 1,828.55 and 1,057.46

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Solution

The fourth proportional to 1,218.65, 1,828.55 and 1,057.46 is: 1,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.65 : 1,828.55 = 1,057.46 : x
  2. Step 2: Convert to fraction form
    1,218.65/1,828.55 = 1,057.46/x
  3. Step 3: Cross multiply
    1,218.65x = 1,828.55 × 1,057.46
  4. Step 4: Simplify right side
    1,218.65x = 1,933,611.98
  5. Step 5: Solve for x
    x = 1,933,611.98/1,218.65
  6. Step 6: Final answer
    x = 1,586.69

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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.