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Finding the Fourth Proportional to 2,460.69, 3,689.51 and 816.81

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Solution

The fourth proportional to 2,460.69, 3,689.51 and 816.81 is: 1,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.69 : 3,689.51 = 816.81 : x
  2. Step 2: Convert to fraction form
    2,460.69/3,689.51 = 816.81/x
  3. Step 3: Cross multiply
    2,460.69x = 3,689.51 × 816.81
  4. Step 4: Simplify right side
    2,460.69x = 3,013,624.58
  5. Step 5: Solve for x
    x = 3,013,624.58/2,460.69
  6. Step 6: Final answer
    x = 1,224.71

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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.