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Finding the Fourth Proportional to 1,683.80, 2,323.50 and 985.22

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Solution

The fourth proportional to 1,683.80, 2,323.50 and 985.22 is: 1,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.80 : 2,323.50 = 985.22 : x
  2. Step 2: Convert to fraction form
    1,683.80/2,323.50 = 985.22/x
  3. Step 3: Cross multiply
    1,683.80x = 2,323.50 × 985.22
  4. Step 4: Simplify right side
    1,683.80x = 2,289,158.67
  5. Step 5: Solve for x
    x = 2,289,158.67/1,683.80
  6. Step 6: Final answer
    x = 1,359.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.