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Finding the Fourth Proportional to 1,641.87, 2,461.69 and 654.78

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Solution

The fourth proportional to 1,641.87, 2,461.69 and 654.78 is: 981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.87 : 2,461.69 = 654.78 : x
  2. Step 2: Convert to fraction form
    1,641.87/2,461.69 = 654.78/x
  3. Step 3: Cross multiply
    1,641.87x = 2,461.69 × 654.78
  4. Step 4: Simplify right side
    1,641.87x = 1,611,875.43
  5. Step 5: Solve for x
    x = 1,611,875.43/1,641.87
  6. Step 6: Final answer
    x = 981.73

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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.