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Finding the Fourth Proportional to 2,692.53, 3,714.27 and 2,028.23

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Solution

The fourth proportional to 2,692.53, 3,714.27 and 2,028.23 is: 2,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.53 : 3,714.27 = 2,028.23 : x
  2. Step 2: Convert to fraction form
    2,692.53/3,714.27 = 2,028.23/x
  3. Step 3: Cross multiply
    2,692.53x = 3,714.27 × 2,028.23
  4. Step 4: Simplify right side
    2,692.53x = 7,533,393.84
  5. Step 5: Solve for x
    x = 7,533,393.84/2,692.53
  6. Step 6: Final answer
    x = 2,797.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.