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Finding the Fourth Proportional to 1,689.60, 2,529.15 and 1,546.05

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Solution

The fourth proportional to 1,689.60, 2,529.15 and 1,546.05 is: 2,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.60 : 2,529.15 = 1,546.05 : x
  2. Step 2: Convert to fraction form
    1,689.60/2,529.15 = 1,546.05/x
  3. Step 3: Cross multiply
    1,689.60x = 2,529.15 × 1,546.05
  4. Step 4: Simplify right side
    1,689.60x = 3,910,192.36
  5. Step 5: Solve for x
    x = 3,910,192.36/1,689.60
  6. Step 6: Final answer
    x = 2,314.27

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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.