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Finding the Fourth Proportional to 2,331.88, 3,489.62 and 1,779.66

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Solution

The fourth proportional to 2,331.88, 3,489.62 and 1,779.66 is: 2,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.88 : 3,489.62 = 1,779.66 : x
  2. Step 2: Convert to fraction form
    2,331.88/3,489.62 = 1,779.66/x
  3. Step 3: Cross multiply
    2,331.88x = 3,489.62 × 1,779.66
  4. Step 4: Simplify right side
    2,331.88x = 6,210,328.23
  5. Step 5: Solve for x
    x = 6,210,328.23/2,331.88
  6. Step 6: Final answer
    x = 2,663.23

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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.