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Finding the Fourth Proportional to 1,217.51, 1,826.46 and 487.10

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Solution

The fourth proportional to 1,217.51, 1,826.46 and 487.10 is: 730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.51 : 1,826.46 = 487.10 : x
  2. Step 2: Convert to fraction form
    1,217.51/1,826.46 = 487.10/x
  3. Step 3: Cross multiply
    1,217.51x = 1,826.46 × 487.10
  4. Step 4: Simplify right side
    1,217.51x = 889,668.67
  5. Step 5: Solve for x
    x = 889,668.67/1,217.51
  6. Step 6: Final answer
    x = 730.73

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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.