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Finding the Fourth Proportional to 3,143, 4,714.50 and 1,091

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Solution

The fourth proportional to 3,143, 4,714.50 and 1,091 is: 1,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143 : 4,714.50 = 1,091 : x
  2. Step 2: Convert to fraction form
    3,143/4,714.50 = 1,091/x
  3. Step 3: Cross multiply
    3,143x = 4,714.50 × 1,091
  4. Step 4: Simplify right side
    3,143x = 5,143,519.50
  5. Step 5: Solve for x
    x = 5,143,519.50/3,143
  6. Step 6: Final answer
    x = 1,636.50

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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.