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Finding the Fourth Proportional to 2,963.84, 4,448.04 and 2,811.56

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Solution

The fourth proportional to 2,963.84, 4,448.04 and 2,811.56 is: 4,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.84 : 4,448.04 = 2,811.56 : x
  2. Step 2: Convert to fraction form
    2,963.84/4,448.04 = 2,811.56/x
  3. Step 3: Cross multiply
    2,963.84x = 4,448.04 × 2,811.56
  4. Step 4: Simplify right side
    2,963.84x = 12,505,931.34
  5. Step 5: Solve for x
    x = 12,505,931.34/2,963.84
  6. Step 6: Final answer
    x = 4,219.50

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1.5x scale

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.