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Finding the Fourth Proportional to 2,946.92, 4,416.73 and 1,486.49

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Solution

The fourth proportional to 2,946.92, 4,416.73 and 1,486.49 is: 2,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.92 : 4,416.73 = 1,486.49 : x
  2. Step 2: Convert to fraction form
    2,946.92/4,416.73 = 1,486.49/x
  3. Step 3: Cross multiply
    2,946.92x = 4,416.73 × 1,486.49
  4. Step 4: Simplify right side
    2,946.92x = 6,565,399.18
  5. Step 5: Solve for x
    x = 6,565,399.18/2,946.92
  6. Step 6: Final answer
    x = 2,227.89

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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.