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Finding the Fourth Proportional to 1,217.65, 1,826.45 and 351.96

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Solution

The fourth proportional to 1,217.65, 1,826.45 and 351.96 is: 527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.65 : 1,826.45 = 351.96 : x
  2. Step 2: Convert to fraction form
    1,217.65/1,826.45 = 351.96/x
  3. Step 3: Cross multiply
    1,217.65x = 1,826.45 × 351.96
  4. Step 4: Simplify right side
    1,217.65x = 642,837.34
  5. Step 5: Solve for x
    x = 642,837.34/1,217.65
  6. Step 6: Final answer
    x = 527.93

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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.