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Finding the Fourth Proportional to 1,663.17, 2,494.80 and 623.43

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Solution

The fourth proportional to 1,663.17, 2,494.80 and 623.43 is: 935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.17 : 2,494.80 = 623.43 : x
  2. Step 2: Convert to fraction form
    1,663.17/2,494.80 = 623.43/x
  3. Step 3: Cross multiply
    1,663.17x = 2,494.80 × 623.43
  4. Step 4: Simplify right side
    1,663.17x = 1,555,333.16
  5. Step 5: Solve for x
    x = 1,555,333.16/1,663.17
  6. Step 6: Final answer
    x = 935.16

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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.