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Finding the Fourth Proportional to 1,771.57, 2,657.20 and 675.42

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Solution

The fourth proportional to 1,771.57, 2,657.20 and 675.42 is: 1,013.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.57 : 2,657.20 = 675.42 : x
  2. Step 2: Convert to fraction form
    1,771.57/2,657.20 = 675.42/x
  3. Step 3: Cross multiply
    1,771.57x = 2,657.20 × 675.42
  4. Step 4: Simplify right side
    1,771.57x = 1,794,726.02
  5. Step 5: Solve for x
    x = 1,794,726.02/1,771.57
  6. Step 6: Final answer
    x = 1,013.07

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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.