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Finding the Fourth Proportional to 1,748.76, 2,414.50 and 1,225.50

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Solution

The fourth proportional to 1,748.76, 2,414.50 and 1,225.50 is: 1,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.76 : 2,414.50 = 1,225.50 : x
  2. Step 2: Convert to fraction form
    1,748.76/2,414.50 = 1,225.50/x
  3. Step 3: Cross multiply
    1,748.76x = 2,414.50 × 1,225.50
  4. Step 4: Simplify right side
    1,748.76x = 2,958,969.75
  5. Step 5: Solve for x
    x = 2,958,969.75/1,748.76
  6. Step 6: Final answer
    x = 1,692.04

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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.