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Finding the Fourth Proportional to 1,909.41, 2,871.05 and 1,757.16

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Solution

The fourth proportional to 1,909.41, 2,871.05 and 1,757.16 is: 2,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.41 : 2,871.05 = 1,757.16 : x
  2. Step 2: Convert to fraction form
    1,909.41/2,871.05 = 1,757.16/x
  3. Step 3: Cross multiply
    1,909.41x = 2,871.05 × 1,757.16
  4. Step 4: Simplify right side
    1,909.41x = 5,044,885.43
  5. Step 5: Solve for x
    x = 5,044,885.43/1,909.41
  6. Step 6: Final answer
    x = 2,642.12

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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.