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Finding the Fourth Proportional to 1,661.11, 2,291.86 and 1,071.98

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Solution

The fourth proportional to 1,661.11, 2,291.86 and 1,071.98 is: 1,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.11 : 2,291.86 = 1,071.98 : x
  2. Step 2: Convert to fraction form
    1,661.11/2,291.86 = 1,071.98/x
  3. Step 3: Cross multiply
    1,661.11x = 2,291.86 × 1,071.98
  4. Step 4: Simplify right side
    1,661.11x = 2,456,822.72
  5. Step 5: Solve for x
    x = 2,456,822.72/1,661.11
  6. Step 6: Final answer
    x = 1,479.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.