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Finding the Fourth Proportional to 1,647.72, 2,470.70 and 551.72

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Solution

The fourth proportional to 1,647.72, 2,470.70 and 551.72 is: 827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.72 : 2,470.70 = 551.72 : x
  2. Step 2: Convert to fraction form
    1,647.72/2,470.70 = 551.72/x
  3. Step 3: Cross multiply
    1,647.72x = 2,470.70 × 551.72
  4. Step 4: Simplify right side
    1,647.72x = 1,363,142.16
  5. Step 5: Solve for x
    x = 1,363,142.16/1,647.72
  6. Step 6: Final answer
    x = 827.29

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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.