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Finding the Fourth Proportional to 1,909.56, 2,862.72 and 756.12

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Solution

The fourth proportional to 1,909.56, 2,862.72 and 756.12 is: 1,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.56 : 2,862.72 = 756.12 : x
  2. Step 2: Convert to fraction form
    1,909.56/2,862.72 = 756.12/x
  3. Step 3: Cross multiply
    1,909.56x = 2,862.72 × 756.12
  4. Step 4: Simplify right side
    1,909.56x = 2,164,559.85
  5. Step 5: Solve for x
    x = 2,164,559.85/1,909.56
  6. Step 6: Final answer
    x = 1,133.54

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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.