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Finding the Fourth Proportional to 2,878.13, 3,976.07 and 1,933.63

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Solution

The fourth proportional to 2,878.13, 3,976.07 and 1,933.63 is: 2,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.13 : 3,976.07 = 1,933.63 : x
  2. Step 2: Convert to fraction form
    2,878.13/3,976.07 = 1,933.63/x
  3. Step 3: Cross multiply
    2,878.13x = 3,976.07 × 1,933.63
  4. Step 4: Simplify right side
    2,878.13x = 7,688,228.63
  5. Step 5: Solve for x
    x = 7,688,228.63/2,878.13
  6. Step 6: Final answer
    x = 2,671.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.