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Finding the Fourth Proportional to 2,084.72, 2,877.42 and 1,421.84

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Solution

The fourth proportional to 2,084.72, 2,877.42 and 1,421.84 is: 1,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.72 : 2,877.42 = 1,421.84 : x
  2. Step 2: Convert to fraction form
    2,084.72/2,877.42 = 1,421.84/x
  3. Step 3: Cross multiply
    2,084.72x = 2,877.42 × 1,421.84
  4. Step 4: Simplify right side
    2,084.72x = 4,091,230.85
  5. Step 5: Solve for x
    x = 4,091,230.85/2,084.72
  6. Step 6: Final answer
    x = 1,962.48

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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.