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Finding the Fourth Proportional to 3,293.41, 4,937.53 and 1,649.13

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Solution

The fourth proportional to 3,293.41, 4,937.53 and 1,649.13 is: 2,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.41 : 4,937.53 = 1,649.13 : x
  2. Step 2: Convert to fraction form
    3,293.41/4,937.53 = 1,649.13/x
  3. Step 3: Cross multiply
    3,293.41x = 4,937.53 × 1,649.13
  4. Step 4: Simplify right side
    3,293.41x = 8,142,628.85
  5. Step 5: Solve for x
    x = 8,142,628.85/3,293.41
  6. Step 6: Final answer
    x = 2,472.40

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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.