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Finding the Fourth Proportional to 3,156.10, 4,734.13 and 964.82

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Solution

The fourth proportional to 3,156.10, 4,734.13 and 964.82 is: 1,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.10 : 4,734.13 = 964.82 : x
  2. Step 2: Convert to fraction form
    3,156.10/4,734.13 = 964.82/x
  3. Step 3: Cross multiply
    3,156.10x = 4,734.13 × 964.82
  4. Step 4: Simplify right side
    3,156.10x = 4,567,583.31
  5. Step 5: Solve for x
    x = 4,567,583.31/3,156.10
  6. Step 6: Final answer
    x = 1,447.22

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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.