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Finding the Fourth Proportional to 3,274.61, 4,903.16 and 1,880.84

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Solution

The fourth proportional to 3,274.61, 4,903.16 and 1,880.84 is: 2,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.61 : 4,903.16 = 1,880.84 : x
  2. Step 2: Convert to fraction form
    3,274.61/4,903.16 = 1,880.84/x
  3. Step 3: Cross multiply
    3,274.61x = 4,903.16 × 1,880.84
  4. Step 4: Simplify right side
    3,274.61x = 9,222,025.53
  5. Step 5: Solve for x
    x = 9,222,025.53/3,274.61
  6. Step 6: Final answer
    x = 2,816.23

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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.