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Finding the Fourth Proportional to 2,953.61, 4,429.80 and 1,174.44

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Solution

The fourth proportional to 2,953.61, 4,429.80 and 1,174.44 is: 1,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.61 : 4,429.80 = 1,174.44 : x
  2. Step 2: Convert to fraction form
    2,953.61/4,429.80 = 1,174.44/x
  3. Step 3: Cross multiply
    2,953.61x = 4,429.80 × 1,174.44
  4. Step 4: Simplify right side
    2,953.61x = 5,202,534.31
  5. Step 5: Solve for x
    x = 5,202,534.31/2,953.61
  6. Step 6: Final answer
    x = 1,761.42

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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.