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Finding the Fourth Proportional to 3,782.45, 5,670.68 and 1,442.00

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Solution

The fourth proportional to 3,782.45, 5,670.68 and 1,442.00 is: 2,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.45 : 5,670.68 = 1,442.00 : x
  2. Step 2: Convert to fraction form
    3,782.45/5,670.68 = 1,442.00/x
  3. Step 3: Cross multiply
    3,782.45x = 5,670.68 × 1,442.00
  4. Step 4: Simplify right side
    3,782.45x = 8,177,085.00
  5. Step 5: Solve for x
    x = 8,177,085.00/3,782.45
  6. Step 6: Final answer
    x = 2,161.85

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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.