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Finding the Fourth Proportional to 1,647.17, 2,470.76 and 1,137.41

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Solution

The fourth proportional to 1,647.17, 2,470.76 and 1,137.41 is: 1,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.17 : 2,470.76 = 1,137.41 : x
  2. Step 2: Convert to fraction form
    1,647.17/2,470.76 = 1,137.41/x
  3. Step 3: Cross multiply
    1,647.17x = 2,470.76 × 1,137.41
  4. Step 4: Simplify right side
    1,647.17x = 2,810,261.44
  5. Step 5: Solve for x
    x = 2,810,261.44/1,647.17
  6. Step 6: Final answer
    x = 1,706.12

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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.