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Finding the Fourth Proportional to 1,848.43, 2,770.25 and 968.71

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Solution

The fourth proportional to 1,848.43, 2,770.25 and 968.71 is: 1,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.43 : 2,770.25 = 968.71 : x
  2. Step 2: Convert to fraction form
    1,848.43/2,770.25 = 968.71/x
  3. Step 3: Cross multiply
    1,848.43x = 2,770.25 × 968.71
  4. Step 4: Simplify right side
    1,848.43x = 2,683,550.18
  5. Step 5: Solve for x
    x = 2,683,550.18/1,848.43
  6. Step 6: Final answer
    x = 1,451.80

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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.