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Finding the Fourth Proportional to 1,768.87, 2,653.31 and 672.98

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Solution

The fourth proportional to 1,768.87, 2,653.31 and 672.98 is: 1,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.87 : 2,653.31 = 672.98 : x
  2. Step 2: Convert to fraction form
    1,768.87/2,653.31 = 672.98/x
  3. Step 3: Cross multiply
    1,768.87x = 2,653.31 × 672.98
  4. Step 4: Simplify right side
    1,768.87x = 1,785,621.20
  5. Step 5: Solve for x
    x = 1,785,621.20/1,768.87
  6. Step 6: Final answer
    x = 1,009.47

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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.