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Finding the Fourth Proportional to 2,946.96, 4,421.34 and 1,649.34

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Solution

The fourth proportional to 2,946.96, 4,421.34 and 1,649.34 is: 2,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.96 : 4,421.34 = 1,649.34 : x
  2. Step 2: Convert to fraction form
    2,946.96/4,421.34 = 1,649.34/x
  3. Step 3: Cross multiply
    2,946.96x = 4,421.34 × 1,649.34
  4. Step 4: Simplify right side
    2,946.96x = 7,292,292.92
  5. Step 5: Solve for x
    x = 7,292,292.92/2,946.96
  6. Step 6: Final answer
    x = 2,474.51

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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.