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Finding the Fourth Proportional to 1,661.07, 2,491.80 and 566.22

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Solution

The fourth proportional to 1,661.07, 2,491.80 and 566.22 is: 849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.07 : 2,491.80 = 566.22 : x
  2. Step 2: Convert to fraction form
    1,661.07/2,491.80 = 566.22/x
  3. Step 3: Cross multiply
    1,661.07x = 2,491.80 × 566.22
  4. Step 4: Simplify right side
    1,661.07x = 1,410,907.00
  5. Step 5: Solve for x
    x = 1,410,907.00/1,661.07
  6. Step 6: Final answer
    x = 849.40

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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.