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Finding the Fourth Proportional to 3,274.53, 4,518.90 and 1,948.38

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Solution

The fourth proportional to 3,274.53, 4,518.90 and 1,948.38 is: 2,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.53 : 4,518.90 = 1,948.38 : x
  2. Step 2: Convert to fraction form
    3,274.53/4,518.90 = 1,948.38/x
  3. Step 3: Cross multiply
    3,274.53x = 4,518.90 × 1,948.38
  4. Step 4: Simplify right side
    3,274.53x = 8,804,534.38
  5. Step 5: Solve for x
    x = 8,804,534.38/3,274.53
  6. Step 6: Final answer
    x = 2,688.79

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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.