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Finding the Fourth Proportional to 1,984.35, 2,735.13 and 1,423.92

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Solution

The fourth proportional to 1,984.35, 2,735.13 and 1,423.92 is: 1,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.35 : 2,735.13 = 1,423.92 : x
  2. Step 2: Convert to fraction form
    1,984.35/2,735.13 = 1,423.92/x
  3. Step 3: Cross multiply
    1,984.35x = 2,735.13 × 1,423.92
  4. Step 4: Simplify right side
    1,984.35x = 3,894,606.31
  5. Step 5: Solve for x
    x = 3,894,606.31/1,984.35
  6. Step 6: Final answer
    x = 1,962.66

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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.