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Finding the Fourth Proportional to 1,575.77, 2,372.82 and 1,167.80

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Solution

The fourth proportional to 1,575.77, 2,372.82 and 1,167.80 is: 1,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.77 : 2,372.82 = 1,167.80 : x
  2. Step 2: Convert to fraction form
    1,575.77/2,372.82 = 1,167.80/x
  3. Step 3: Cross multiply
    1,575.77x = 2,372.82 × 1,167.80
  4. Step 4: Simplify right side
    1,575.77x = 2,770,979.20
  5. Step 5: Solve for x
    x = 2,770,979.20/1,575.77
  6. Step 6: Final answer
    x = 1,758.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.