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Finding the Fourth Proportional to 1,561.80, 2,342.82 and 830.36

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Solution

The fourth proportional to 1,561.80, 2,342.82 and 830.36 is: 1,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.80 : 2,342.82 = 830.36 : x
  2. Step 2: Convert to fraction form
    1,561.80/2,342.82 = 830.36/x
  3. Step 3: Cross multiply
    1,561.80x = 2,342.82 × 830.36
  4. Step 4: Simplify right side
    1,561.80x = 1,945,384.02
  5. Step 5: Solve for x
    x = 1,945,384.02/1,561.80
  6. Step 6: Final answer
    x = 1,245.60

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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.