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Finding the Fourth Proportional to 2,943.03, 4,415.20 and 968.59

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Solution

The fourth proportional to 2,943.03, 4,415.20 and 968.59 is: 1,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.03 : 4,415.20 = 968.59 : x
  2. Step 2: Convert to fraction form
    2,943.03/4,415.20 = 968.59/x
  3. Step 3: Cross multiply
    2,943.03x = 4,415.20 × 968.59
  4. Step 4: Simplify right side
    2,943.03x = 4,276,502.28
  5. Step 5: Solve for x
    x = 4,276,502.28/2,943.03
  6. Step 6: Final answer
    x = 1,453.09

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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.