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Finding the Fourth Proportional to 2,166.44, 2,990.12 and 1,421.08

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Solution

The fourth proportional to 2,166.44, 2,990.12 and 1,421.08 is: 1,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.44 : 2,990.12 = 1,421.08 : x
  2. Step 2: Convert to fraction form
    2,166.44/2,990.12 = 1,421.08/x
  3. Step 3: Cross multiply
    2,166.44x = 2,990.12 × 1,421.08
  4. Step 4: Simplify right side
    2,166.44x = 4,249,199.73
  5. Step 5: Solve for x
    x = 4,249,199.73/2,166.44
  6. Step 6: Final answer
    x = 1,961.37

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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.