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Finding the Fourth Proportional to 2,473.95, 3,711.69 and 830.36

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Solution

The fourth proportional to 2,473.95, 3,711.69 and 830.36 is: 1,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.95 : 3,711.69 = 830.36 : x
  2. Step 2: Convert to fraction form
    2,473.95/3,711.69 = 830.36/x
  3. Step 3: Cross multiply
    2,473.95x = 3,711.69 × 830.36
  4. Step 4: Simplify right side
    2,473.95x = 3,082,048.19
  5. Step 5: Solve for x
    x = 3,082,048.19/2,473.95
  6. Step 6: Final answer
    x = 1,245.80

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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.