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Finding the Fourth Proportional to 1,663.98, 2,297.88 and 1,426.56

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Solution

The fourth proportional to 1,663.98, 2,297.88 and 1,426.56 is: 1,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.98 : 2,297.88 = 1,426.56 : x
  2. Step 2: Convert to fraction form
    1,663.98/2,297.88 = 1,426.56/x
  3. Step 3: Cross multiply
    1,663.98x = 2,297.88 × 1,426.56
  4. Step 4: Simplify right side
    1,663.98x = 3,278,063.69
  5. Step 5: Solve for x
    x = 3,278,063.69/1,663.98
  6. Step 6: Final answer
    x = 1,970.01

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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.