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Finding the Fourth Proportional to 1,782.72, 2,658.66 and 1,524.36

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Solution

The fourth proportional to 1,782.72, 2,658.66 and 1,524.36 is: 2,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.72 : 2,658.66 = 1,524.36 : x
  2. Step 2: Convert to fraction form
    1,782.72/2,658.66 = 1,524.36/x
  3. Step 3: Cross multiply
    1,782.72x = 2,658.66 × 1,524.36
  4. Step 4: Simplify right side
    1,782.72x = 4,052,754.96
  5. Step 5: Solve for x
    x = 4,052,754.96/1,782.72
  6. Step 6: Final answer
    x = 2,273.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.