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Finding the Fourth Proportional to 1,991.60, 2,982 and 1,124.36

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Solution

The fourth proportional to 1,991.60, 2,982 and 1,124.36 is: 1,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.60 : 2,982 = 1,124.36 : x
  2. Step 2: Convert to fraction form
    1,991.60/2,982 = 1,124.36/x
  3. Step 3: Cross multiply
    1,991.60x = 2,982 × 1,124.36
  4. Step 4: Simplify right side
    1,991.60x = 3,352,841.52
  5. Step 5: Solve for x
    x = 3,352,841.52/1,991.60
  6. Step 6: Final answer
    x = 1,683.49

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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.