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Finding the Fourth Proportional to 2,166.43, 2,989.95 and 1,421.02

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Solution

The fourth proportional to 2,166.43, 2,989.95 and 1,421.02 is: 1,961.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.43 : 2,989.95 = 1,421.02 : x
  2. Step 2: Convert to fraction form
    2,166.43/2,989.95 = 1,421.02/x
  3. Step 3: Cross multiply
    2,166.43x = 2,989.95 × 1,421.02
  4. Step 4: Simplify right side
    2,166.43x = 4,248,778.75
  5. Step 5: Solve for x
    x = 4,248,778.75/2,166.43
  6. Step 6: Final answer
    x = 1,961.19

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