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Finding the Fourth Proportional to 3,184.90, 4,774.92 and 1,451.50

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Solution

The fourth proportional to 3,184.90, 4,774.92 and 1,451.50 is: 2,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.90 : 4,774.92 = 1,451.50 : x
  2. Step 2: Convert to fraction form
    3,184.90/4,774.92 = 1,451.50/x
  3. Step 3: Cross multiply
    3,184.90x = 4,774.92 × 1,451.50
  4. Step 4: Simplify right side
    3,184.90x = 6,930,796.38
  5. Step 5: Solve for x
    x = 6,930,796.38/3,184.90
  6. Step 6: Final answer
    x = 2,176.14

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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.