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Finding the Fourth Proportional to 3,046.32, 4,203.86 and 1,720.00

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Solution

The fourth proportional to 3,046.32, 4,203.86 and 1,720.00 is: 2,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.32 : 4,203.86 = 1,720.00 : x
  2. Step 2: Convert to fraction form
    3,046.32/4,203.86 = 1,720.00/x
  3. Step 3: Cross multiply
    3,046.32x = 4,203.86 × 1,720.00
  4. Step 4: Simplify right side
    3,046.32x = 7,230,630.21
  5. Step 5: Solve for x
    x = 7,230,630.21/3,046.32
  6. Step 6: Final answer
    x = 2,373.56

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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.