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Finding the Fourth Proportional to 2,926.86, 4,387.86 and 1,692.42

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Solution

The fourth proportional to 2,926.86, 4,387.86 and 1,692.42 is: 2,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.86 : 4,387.86 = 1,692.42 : x
  2. Step 2: Convert to fraction form
    2,926.86/4,387.86 = 1,692.42/x
  3. Step 3: Cross multiply
    2,926.86x = 4,387.86 × 1,692.42
  4. Step 4: Simplify right side
    2,926.86x = 7,426,102.02
  5. Step 5: Solve for x
    x = 7,426,102.02/2,926.86
  6. Step 6: Final answer
    x = 2,537.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.