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Finding the Fourth Proportional to 1,575.58, 2,174.63 and 946.14

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Solution

The fourth proportional to 1,575.58, 2,174.63 and 946.14 is: 1,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.58 : 2,174.63 = 946.14 : x
  2. Step 2: Convert to fraction form
    1,575.58/2,174.63 = 946.14/x
  3. Step 3: Cross multiply
    1,575.58x = 2,174.63 × 946.14
  4. Step 4: Simplify right side
    1,575.58x = 2,057,493.56
  5. Step 5: Solve for x
    x = 2,057,493.56/1,575.58
  6. Step 6: Final answer
    x = 1,305.86

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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.