Home / 2,146.08-3,213.84-1,046.90

Finding the Fourth Proportional to 2,146.08, 3,213.84 and 1,046.90

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Solution

The fourth proportional to 2,146.08, 3,213.84 and 1,046.90 is: 1,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.08 : 3,213.84 = 1,046.90 : x
  2. Step 2: Convert to fraction form
    2,146.08/3,213.84 = 1,046.90/x
  3. Step 3: Cross multiply
    2,146.08x = 3,213.84 × 1,046.90
  4. Step 4: Simplify right side
    2,146.08x = 3,364,569.10
  5. Step 5: Solve for x
    x = 3,364,569.10/2,146.08
  6. Step 6: Final answer
    x = 1,567.77

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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.