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Finding the Fourth Proportional to 1,575.72, 2,175.57 and 1,017.54

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Solution

The fourth proportional to 1,575.72, 2,175.57 and 1,017.54 is: 1,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.72 : 2,175.57 = 1,017.54 : x
  2. Step 2: Convert to fraction form
    1,575.72/2,175.57 = 1,017.54/x
  3. Step 3: Cross multiply
    1,575.72x = 2,175.57 × 1,017.54
  4. Step 4: Simplify right side
    1,575.72x = 2,213,729.50
  5. Step 5: Solve for x
    x = 2,213,729.50/1,575.72
  6. Step 6: Final answer
    x = 1,404.90

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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.