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Finding the Fourth Proportional to 4,274.06, 6,411.81 and 1,965.50

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Solution

The fourth proportional to 4,274.06, 6,411.81 and 1,965.50 is: 2,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.06 : 6,411.81 = 1,965.50 : x
  2. Step 2: Convert to fraction form
    4,274.06/6,411.81 = 1,965.50/x
  3. Step 3: Cross multiply
    4,274.06x = 6,411.81 × 1,965.50
  4. Step 4: Simplify right side
    4,274.06x = 12,602,412.56
  5. Step 5: Solve for x
    x = 12,602,412.56/4,274.06
  6. Step 6: Final answer
    x = 2,948.58

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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.