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Finding the Fourth Proportional to 2,163.80, 2,985.98 and 1,219.88

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Solution

The fourth proportional to 2,163.80, 2,985.98 and 1,219.88 is: 1,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.80 : 2,985.98 = 1,219.88 : x
  2. Step 2: Convert to fraction form
    2,163.80/2,985.98 = 1,219.88/x
  3. Step 3: Cross multiply
    2,163.80x = 2,985.98 × 1,219.88
  4. Step 4: Simplify right side
    2,163.80x = 3,642,537.28
  5. Step 5: Solve for x
    x = 3,642,537.28/2,163.80
  6. Step 6: Final answer
    x = 1,683.40

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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.