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Finding the Fourth Proportional to 1,761.08, 2,634.32 and 1,600.70

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Solution

The fourth proportional to 1,761.08, 2,634.32 and 1,600.70 is: 2,394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.08 : 2,634.32 = 1,600.70 : x
  2. Step 2: Convert to fraction form
    1,761.08/2,634.32 = 1,600.70/x
  3. Step 3: Cross multiply
    1,761.08x = 2,634.32 × 1,600.70
  4. Step 4: Simplify right side
    1,761.08x = 4,216,746.85
  5. Step 5: Solve for x
    x = 4,216,746.85/1,761.08
  6. Step 6: Final answer
    x = 2,394.42

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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.