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Finding the Fourth Proportional to 2,984.17, 4,473.90 and 1,886.22

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Solution

The fourth proportional to 2,984.17, 4,473.90 and 1,886.22 is: 2,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.17 : 4,473.90 = 1,886.22 : x
  2. Step 2: Convert to fraction form
    2,984.17/4,473.90 = 1,886.22/x
  3. Step 3: Cross multiply
    2,984.17x = 4,473.90 × 1,886.22
  4. Step 4: Simplify right side
    2,984.17x = 8,438,759.66
  5. Step 5: Solve for x
    x = 8,438,759.66/2,984.17
  6. Step 6: Final answer
    x = 2,827.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.