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Finding the Fourth Proportional to 1,784.46, 2,462.49 and 1,261.20

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Solution

The fourth proportional to 1,784.46, 2,462.49 and 1,261.20 is: 1,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.46 : 2,462.49 = 1,261.20 : x
  2. Step 2: Convert to fraction form
    1,784.46/2,462.49 = 1,261.20/x
  3. Step 3: Cross multiply
    1,784.46x = 2,462.49 × 1,261.20
  4. Step 4: Simplify right side
    1,784.46x = 3,105,692.39
  5. Step 5: Solve for x
    x = 3,105,692.39/1,784.46
  6. Step 6: Final answer
    x = 1,740.41

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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.