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Finding the Fourth Proportional to 2,559.68, 3,531.46 and 1,676

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Solution

The fourth proportional to 2,559.68, 3,531.46 and 1,676 is: 2,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.68 : 3,531.46 = 1,676 : x
  2. Step 2: Convert to fraction form
    2,559.68/3,531.46 = 1,676/x
  3. Step 3: Cross multiply
    2,559.68x = 3,531.46 × 1,676
  4. Step 4: Simplify right side
    2,559.68x = 5,918,726.96
  5. Step 5: Solve for x
    x = 5,918,726.96/2,559.68
  6. Step 6: Final answer
    x = 2,312.29

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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.