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Finding the Fourth Proportional to 1,663.34, 2,495.52 and 739.14

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Solution

The fourth proportional to 1,663.34, 2,495.52 and 739.14 is: 1,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.34 : 2,495.52 = 739.14 : x
  2. Step 2: Convert to fraction form
    1,663.34/2,495.52 = 739.14/x
  3. Step 3: Cross multiply
    1,663.34x = 2,495.52 × 739.14
  4. Step 4: Simplify right side
    1,663.34x = 1,844,538.65
  5. Step 5: Solve for x
    x = 1,844,538.65/1,663.34
  6. Step 6: Final answer
    x = 1,108.94

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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.