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Finding the Fourth Proportional to 1,647.84, 2,271.60 and 1,297.92

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Solution

The fourth proportional to 1,647.84, 2,271.60 and 1,297.92 is: 1,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.84 : 2,271.60 = 1,297.92 : x
  2. Step 2: Convert to fraction form
    1,647.84/2,271.60 = 1,297.92/x
  3. Step 3: Cross multiply
    1,647.84x = 2,271.60 × 1,297.92
  4. Step 4: Simplify right side
    1,647.84x = 2,948,355.07
  5. Step 5: Solve for x
    x = 2,948,355.07/1,647.84
  6. Step 6: Final answer
    x = 1,789.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.