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Finding the Fourth Proportional to 2,141.80, 3,213.32 and 1,046.80

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Solution

The fourth proportional to 2,141.80, 3,213.32 and 1,046.80 is: 1,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.80 : 3,213.32 = 1,046.80 : x
  2. Step 2: Convert to fraction form
    2,141.80/3,213.32 = 1,046.80/x
  3. Step 3: Cross multiply
    2,141.80x = 3,213.32 × 1,046.80
  4. Step 4: Simplify right side
    2,141.80x = 3,363,703.38
  5. Step 5: Solve for x
    x = 3,363,703.38/2,141.80
  6. Step 6: Final answer
    x = 1,570.50

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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.