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Finding the Fourth Proportional to 4,122.54, 6,184.22 and 1,782.18

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Solution

The fourth proportional to 4,122.54, 6,184.22 and 1,782.18 is: 2,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.54 : 6,184.22 = 1,782.18 : x
  2. Step 2: Convert to fraction form
    4,122.54/6,184.22 = 1,782.18/x
  3. Step 3: Cross multiply
    4,122.54x = 6,184.22 × 1,782.18
  4. Step 4: Simplify right side
    4,122.54x = 11,021,384.29
  5. Step 5: Solve for x
    x = 11,021,384.29/4,122.54
  6. Step 6: Final answer
    x = 2,673.45

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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.