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Finding the Fourth Proportional to 1,639, 2,463.90 and 1,518.72

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Solution

The fourth proportional to 1,639, 2,463.90 and 1,518.72 is: 2,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639 : 2,463.90 = 1,518.72 : x
  2. Step 2: Convert to fraction form
    1,639/2,463.90 = 1,518.72/x
  3. Step 3: Cross multiply
    1,639x = 2,463.90 × 1,518.72
  4. Step 4: Simplify right side
    1,639x = 3,741,974.21
  5. Step 5: Solve for x
    x = 3,741,974.21/1,639
  6. Step 6: Final answer
    x = 2,283.08

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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.