Home / 2,738.52-4,102.32-2,046

Finding the Fourth Proportional to 2,738.52, 4,102.32 and 2,046

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Solution

The fourth proportional to 2,738.52, 4,102.32 and 2,046 is: 3,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.52 : 4,102.32 = 2,046 : x
  2. Step 2: Convert to fraction form
    2,738.52/4,102.32 = 2,046/x
  3. Step 3: Cross multiply
    2,738.52x = 4,102.32 × 2,046
  4. Step 4: Simplify right side
    2,738.52x = 8,393,346.72
  5. Step 5: Solve for x
    x = 8,393,346.72/2,738.52
  6. Step 6: Final answer
    x = 3,064.92

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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.