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Finding the Fourth Proportional to 2,473.44, 3,710.17 and 830.00

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Solution

The fourth proportional to 2,473.44, 3,710.17 and 830.00 is: 1,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.44 : 3,710.17 = 830.00 : x
  2. Step 2: Convert to fraction form
    2,473.44/3,710.17 = 830.00/x
  3. Step 3: Cross multiply
    2,473.44x = 3,710.17 × 830.00
  4. Step 4: Simplify right side
    2,473.44x = 3,079,430.54
  5. Step 5: Solve for x
    x = 3,079,430.54/2,473.44
  6. Step 6: Final answer
    x = 1,245.00

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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.