Home / 2,678.14-4,017.82-946.78

Finding the Fourth Proportional to 2,678.14, 4,017.82 and 946.78

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Solution

The fourth proportional to 2,678.14, 4,017.82 and 946.78 is: 1,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.14 : 4,017.82 = 946.78 : x
  2. Step 2: Convert to fraction form
    2,678.14/4,017.82 = 946.78/x
  3. Step 3: Cross multiply
    2,678.14x = 4,017.82 × 946.78
  4. Step 4: Simplify right side
    2,678.14x = 3,803,991.62
  5. Step 5: Solve for x
    x = 3,803,991.62/2,678.14
  6. Step 6: Final answer
    x = 1,420.39

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1.5x scale

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.