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Finding the Fourth Proportional to 3,297.81, 4,949.63 and 1,543.76

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Solution

The fourth proportional to 3,297.81, 4,949.63 and 1,543.76 is: 2,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.81 : 4,949.63 = 1,543.76 : x
  2. Step 2: Convert to fraction form
    3,297.81/4,949.63 = 1,543.76/x
  3. Step 3: Cross multiply
    3,297.81x = 4,949.63 × 1,543.76
  4. Step 4: Simplify right side
    3,297.81x = 7,641,037.03
  5. Step 5: Solve for x
    x = 7,641,037.03/3,297.81
  6. Step 6: Final answer
    x = 2,317.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.