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Finding the Fourth Proportional to 1,768.56, 2,640 and 1,539.12

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Solution

The fourth proportional to 1,768.56, 2,640 and 1,539.12 is: 2,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.56 : 2,640 = 1,539.12 : x
  2. Step 2: Convert to fraction form
    1,768.56/2,640 = 1,539.12/x
  3. Step 3: Cross multiply
    1,768.56x = 2,640 × 1,539.12
  4. Step 4: Simplify right side
    1,768.56x = 4,063,276.80
  5. Step 5: Solve for x
    x = 4,063,276.80/1,768.56
  6. Step 6: Final answer
    x = 2,297.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.