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Finding the Fourth Proportional to 2,752.40, 4,129.20 and 1,290.75

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Solution

The fourth proportional to 2,752.40, 4,129.20 and 1,290.75 is: 1,936.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.40 : 4,129.20 = 1,290.75 : x
  2. Step 2: Convert to fraction form
    2,752.40/4,129.20 = 1,290.75/x
  3. Step 3: Cross multiply
    2,752.40x = 4,129.20 × 1,290.75
  4. Step 4: Simplify right side
    2,752.40x = 5,329,764.90
  5. Step 5: Solve for x
    x = 5,329,764.90/2,752.40
  6. Step 6: Final answer
    x = 1,936.41

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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.