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Finding the Fourth Proportional to 2,994.92, 4,133.05 and 1,668.74

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Solution

The fourth proportional to 2,994.92, 4,133.05 and 1,668.74 is: 2,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.92 : 4,133.05 = 1,668.74 : x
  2. Step 2: Convert to fraction form
    2,994.92/4,133.05 = 1,668.74/x
  3. Step 3: Cross multiply
    2,994.92x = 4,133.05 × 1,668.74
  4. Step 4: Simplify right side
    2,994.92x = 6,896,992.02
  5. Step 5: Solve for x
    x = 6,896,992.02/2,994.92
  6. Step 6: Final answer
    x = 2,302.90

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Why These Related Problems?

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