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Finding the Fourth Proportional to 3,164.76, 4,748.76 and 1,433.16

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Solution

The fourth proportional to 3,164.76, 4,748.76 and 1,433.16 is: 2,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.76 : 4,748.76 = 1,433.16 : x
  2. Step 2: Convert to fraction form
    3,164.76/4,748.76 = 1,433.16/x
  3. Step 3: Cross multiply
    3,164.76x = 4,748.76 × 1,433.16
  4. Step 4: Simplify right side
    3,164.76x = 6,805,732.88
  5. Step 5: Solve for x
    x = 6,805,732.88/3,164.76
  6. Step 6: Final answer
    x = 2,150.47

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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.