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Finding the Fourth Proportional to 2,417.63, 3,627 and 878.63

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Solution

The fourth proportional to 2,417.63, 3,627 and 878.63 is: 1,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.63 : 3,627 = 878.63 : x
  2. Step 2: Convert to fraction form
    2,417.63/3,627 = 878.63/x
  3. Step 3: Cross multiply
    2,417.63x = 3,627 × 878.63
  4. Step 4: Simplify right side
    2,417.63x = 3,186,772.88
  5. Step 5: Solve for x
    x = 3,186,772.88/2,417.63
  6. Step 6: Final answer
    x = 1,318.14

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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.