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Finding the Fourth Proportional to 1,647.59, 2,471.37 and 551.94

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Solution

The fourth proportional to 1,647.59, 2,471.37 and 551.94 is: 827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.59 : 2,471.37 = 551.94 : x
  2. Step 2: Convert to fraction form
    1,647.59/2,471.37 = 551.94/x
  3. Step 3: Cross multiply
    1,647.59x = 2,471.37 × 551.94
  4. Step 4: Simplify right side
    1,647.59x = 1,364,047.96
  5. Step 5: Solve for x
    x = 1,364,047.96/1,647.59
  6. Step 6: Final answer
    x = 827.91

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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.