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Finding the Fourth Proportional to 1,561.98, 2,343.66 and 830.70

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Solution

The fourth proportional to 1,561.98, 2,343.66 and 830.70 is: 1,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.98 : 2,343.66 = 830.70 : x
  2. Step 2: Convert to fraction form
    1,561.98/2,343.66 = 830.70/x
  3. Step 3: Cross multiply
    1,561.98x = 2,343.66 × 830.70
  4. Step 4: Simplify right side
    1,561.98x = 1,946,878.36
  5. Step 5: Solve for x
    x = 1,946,878.36/1,561.98
  6. Step 6: Final answer
    x = 1,246.42

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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.