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Finding the Fourth Proportional to 1,909.68, 2,629.96 and 1,642.17

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Solution

The fourth proportional to 1,909.68, 2,629.96 and 1,642.17 is: 2,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.68 : 2,629.96 = 1,642.17 : x
  2. Step 2: Convert to fraction form
    1,909.68/2,629.96 = 1,642.17/x
  3. Step 3: Cross multiply
    1,909.68x = 2,629.96 × 1,642.17
  4. Step 4: Simplify right side
    1,909.68x = 4,318,841.41
  5. Step 5: Solve for x
    x = 4,318,841.41/1,909.68
  6. Step 6: Final answer
    x = 2,261.55

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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.