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Finding the Fourth Proportional to 2,959.84, 4,439.76 and 2,381.50

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Solution

The fourth proportional to 2,959.84, 4,439.76 and 2,381.50 is: 3,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.84 : 4,439.76 = 2,381.50 : x
  2. Step 2: Convert to fraction form
    2,959.84/4,439.76 = 2,381.50/x
  3. Step 3: Cross multiply
    2,959.84x = 4,439.76 × 2,381.50
  4. Step 4: Simplify right side
    2,959.84x = 10,573,288.44
  5. Step 5: Solve for x
    x = 10,573,288.44/2,959.84
  6. Step 6: Final answer
    x = 3,572.25

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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.