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Finding the Fourth Proportional to 2,692.06, 3,714.08 and 1,572.60

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Solution

The fourth proportional to 2,692.06, 3,714.08 and 1,572.60 is: 2,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.06 : 3,714.08 = 1,572.60 : x
  2. Step 2: Convert to fraction form
    2,692.06/3,714.08 = 1,572.60/x
  3. Step 3: Cross multiply
    2,692.06x = 3,714.08 × 1,572.60
  4. Step 4: Simplify right side
    2,692.06x = 5,840,762.21
  5. Step 5: Solve for x
    x = 5,840,762.21/2,692.06
  6. Step 6: Final answer
    x = 2,169.63

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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.