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Finding the Fourth Proportional to 1,661.48, 2,493.09 and 1,271.24

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Solution

The fourth proportional to 1,661.48, 2,493.09 and 1,271.24 is: 1,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.48 : 2,493.09 = 1,271.24 : x
  2. Step 2: Convert to fraction form
    1,661.48/2,493.09 = 1,271.24/x
  3. Step 3: Cross multiply
    1,661.48x = 2,493.09 × 1,271.24
  4. Step 4: Simplify right side
    1,661.48x = 3,169,303.27
  5. Step 5: Solve for x
    x = 3,169,303.27/1,661.48
  6. Step 6: Final answer
    x = 1,907.52

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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.