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Finding the Fourth Proportional to 4,126.84, 6,192.09 and 1,661.00

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Solution

The fourth proportional to 4,126.84, 6,192.09 and 1,661.00 is: 2,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.84 : 6,192.09 = 1,661.00 : x
  2. Step 2: Convert to fraction form
    4,126.84/6,192.09 = 1,661.00/x
  3. Step 3: Cross multiply
    4,126.84x = 6,192.09 × 1,661.00
  4. Step 4: Simplify right side
    4,126.84x = 10,285,030.53
  5. Step 5: Solve for x
    x = 10,285,030.53/4,126.84
  6. Step 6: Final answer
    x = 2,492.23

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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.