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Finding the Fourth Proportional to 1,909.86, 2,636.01 and 1,761.63

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Solution

The fourth proportional to 1,909.86, 2,636.01 and 1,761.63 is: 2,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.86 : 2,636.01 = 1,761.63 : x
  2. Step 2: Convert to fraction form
    1,909.86/2,636.01 = 1,761.63/x
  3. Step 3: Cross multiply
    1,909.86x = 2,636.01 × 1,761.63
  4. Step 4: Simplify right side
    1,909.86x = 4,643,674.30
  5. Step 5: Solve for x
    x = 4,643,674.30/1,909.86
  6. Step 6: Final answer
    x = 2,431.42

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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.