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Finding the Fourth Proportional to 3,119, 4,678.50 and 1,271.36

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Solution

The fourth proportional to 3,119, 4,678.50 and 1,271.36 is: 1,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119 : 4,678.50 = 1,271.36 : x
  2. Step 2: Convert to fraction form
    3,119/4,678.50 = 1,271.36/x
  3. Step 3: Cross multiply
    3,119x = 4,678.50 × 1,271.36
  4. Step 4: Simplify right side
    3,119x = 5,948,057.76
  5. Step 5: Solve for x
    x = 5,948,057.76/3,119
  6. Step 6: Final answer
    x = 1,907.04

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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.